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#1 Help Me ! » Derivatives!!!! » 2014-11-13 07:15:04

TeoLeo
Replies: 1

Hi!

I'm wondering if I can calculate (or find the limit) a sum like this:

S = ½ [ f`(1) + f`(2) + f`(3) + .... + f`(n) ]

where:  f(x) = (½)^n   , with n ∈N  and n≥1

Sooo?? Any ideas? big_smile

#2 Re: Help Me ! » A question about limits » 2014-10-23 07:28:12

Hi, Olinguito.
I don't really understand the first part with "Consider: √(4n^2+n) - 2n" .

What's with that 2n?

understand everything else after that...so is "-2n" added there just randomly to help us? Or why did you chooose it?

#3 Help Me ! » A question about limits » 2014-10-23 00:56:52

TeoLeo
Replies: 16

Ok guys, I can't work out this sequence limit:

lim  sin( π√(4n^2+n) ) = ?
n⇒∞

I'm sure it's not really that hard, but...help, please!! big_smile

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