Math Is Fun Forum
You are not logged in.
- Topics: Active | Unanswered
#26 2014-11-08 02:12:29
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Limits
I was referring to the tea kettle principle. It does not apply here.
You can "rationalise" both the denominator and the numerator.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
Offline
#27 2014-11-08 02:16:13
Re: Limits
How?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#28 2014-11-08 02:43:06
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Limits
Myltiply both by
Last edited by anonimnystefy (2014-11-08 02:43:35)
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
Offline
#29 2014-11-08 03:05:04
Re: Limits
That gives
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#30 2014-11-08 03:15:51
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Limits
Are you sure? You need to multiply both the denominator and the numerator by that.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
Offline
#31 2014-11-08 03:22:17
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
Hi Agnishom;
Make sure you multiply them separately else some cancelling will happen.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#32 2014-11-08 03:35:36
Re: Limits
Ah, it works! 
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#33 2014-11-19 23:51:24
Re: Limits
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#34 2014-11-20 11:13:03
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Limits
You can divide both the denominator and the numerator by x, then use the known limits of sin(x)/x and tan(x)/x.
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
Offline
#35 2014-11-20 12:08:36
Re: Limits
Aren't those limits 1?
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#36 2014-11-20 12:14:45
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
And if the person asks you to prove that? How are you going to without the squeeze theorem which you do not allow?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#37 2014-11-20 12:36:51
- anonimnystefy
- Real Member
- From: Harlan's World
- Registered: 2011-05-23
- Posts: 16,049
Re: Limits
Where did he not allow the squeeze theorem?
Here lies the reader who will never open this book. He is forever dead.
Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment
The knowledge of some things as a function of age is a delta function.
Offline
#38 2014-11-20 12:52:56
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
Post #36 is asking in an indirect way. Since these limits are to be done with restrictions we can not assume what is allowed and what is not.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#39 2014-11-20 21:35:15
- Rinni
- Member
- Registered: 2014-10-31
- Posts: 16
Re: Limits
to be solved by the 1st problem only-
1.Lim( cosx + asinbx) ^ 1\x
x-> 0
2.lim (x^2 + 2x + 3 / 2x^2 + x + 5) ^ 3x-2/3x+2
"keep smiling , it costs nothing "
Offline
#40 2014-11-20 21:36:36
- Rinni
- Member
- Registered: 2014-10-31
- Posts: 16
Re: Limits
hi bobbym, heard a lot about you from agnishom
"keep smiling , it costs nothing "
Offline
#41 2014-11-20 21:42:10
- Rinni
- Member
- Registered: 2014-10-31
- Posts: 16
Re: Limits
oopss!!!!! am sorryyy!!!!! I mistakenly wrote that 1st principle should only be used. sorry. in these following derivative sums...1st principle is only to be followed. not in those limits
1. x^2 e^x log x
2. (xsinx+cos x)(e^x + x^2 log x)
"keep smiling , it costs nothing "
Offline
#42 2014-11-20 22:33:27
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
hi bobbym,
I have great expectations of Agnishom.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#43 2014-11-21 03:04:25
- Rinni
- Member
- Registered: 2014-10-31
- Posts: 16
Re: Limits
can u plz solve those sumz?? :\
"keep smiling , it costs nothing "
Offline
#44 2014-11-21 03:26:26
- Rinni
- Member
- Registered: 2014-10-31
- Posts: 16
Re: Limits
1. lim log (2+x) + log 0.5 / x
x -> 0
2. lim e^sinx - 1\x
x ->0
3. lim [ cos x – cos a/ sqrt(x) – sqrt(a)]
x->a
4. lim 2^n-1 sin (a/2^n)
n-> ∞
5. lim [sin(a\2^n) / sinb/2^n)]
n->∞
6.lim [ sqrt(2) – cosx-sinx/(4x- pi)^2]
n-> ∞
7. lim( π/2-x)tanx
x→π/4
8. lim (a+h)^2sin(a+h)-a^2sina/h
h-> 0
"keep smiling , it costs nothing "
Offline
#45 2014-11-21 03:34:58
Re: Limits
Can you please latex it up? Many of the limits are not legible.
Last edited by Agnishom (2014-11-21 03:41:19)
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#46 2014-11-21 05:57:38
Re: Limits
Hi Rinni;
Problem 6 and 7 looks off. Please write/latex them properly.
I've taken care of the rest.
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#47 2014-11-21 06:08:50
- Rinni
- Member
- Registered: 2014-10-31
- Posts: 16
Re: Limits
hi Agnishom
I am not able to latex it up......................... cause I need time but my net connection will go off in about 7 min. and it is irritating me. can u plz post the rest?
"keep smiling , it costs nothing "
Offline
#48 2014-11-21 06:31:35
Re: Limits
No, I cannot because I need time to post them and I am going to go to sleep in 7 minutes. And they are irritating me.
I'll tell you how to do them tommorrow.
Last edited by Agnishom (2014-11-21 06:31:59)
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline
#49 2014-11-21 07:54:51
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Limits
Everybody seems to be going offline in 7 minutes. Good night everyone.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#50 2014-11-21 12:09:35
Re: Limits
Good evening bobbym.
1. Use whatever way (Sandwich, L'Hopital) to evaluate this by hand
I will aee if I can back engineer
Last edited by Agnishom (2014-11-21 12:10:02)
'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.
Offline