Math Is Fun Forum

stimz

Member

Registered: 2007-09-26

Posts: 1

finding the limit

I have some problem with this:

I would really appreciate if someone could help me out

Last edited by stimz (2007-09-26 05:51:38)

mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: finding the limit

(I may have bent some of the rules here, so I'd appreciate of someone could check that I'm being legal. Checking with big numbers, it seems to give the right answer though.)

As x gets very large, the 1 becomes negligible, so we can reduce that to:

Now, ∞ is the same as e^∞, which means that the limit can be changed to

ln(e^y) = y, and two combined powers can be multiplied, so the limit is now

The y's cancel, which means that the limit is e².

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Why did the vector cross the road?
It wanted to be normal.

stimz

Member

Registered: 2007-09-26

Posts: 1

Re: finding the limit

ty! really helpful!