Hello. I need help on two questions related to limits of indeterminate forms. I've solved at least fifty other such questions, but these just elude me...

1.

2.

Much obliged if someone can help!

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- October 25th 2007, 07:02 AMsuperphysicsLimits & Indeterminate Forms
Hello. I need help on two questions related to limits of indeterminate forms. I've solved at least fifty other such questions, but these just elude me...

1.

2.

Much obliged if someone can help! - October 25th 2007, 07:07 AMgalactus

- October 25th 2007, 07:46 AMkalagota
- October 25th 2007, 07:55 AMPaulRS
For the second:

Remember that:

Where:

and :

;) - October 25th 2007, 08:05 AMkalagota
- October 25th 2007, 08:06 AMPaulRS
- October 25th 2007, 08:26 AMkalagota
- October 25th 2007, 08:33 AMgalactus
I'm sorry I wasn't more thorough, but I had to leave in a hurry in the middle, so I gave an abridged version. :o

- October 25th 2007, 09:55 AMsuperphysics
I've run into another problem. This one, unlike the other two, which were purely for interest, is for my course study.

My problem here is that I can't figure out a way to handle , which oscillates between -1 & 1 when*x*approaches . And we are not allowed to use any series expansions, which may help solve the problem.

Please? - October 25th 2007, 11:46 AMPaulRS
To deal with that sort of limits you can use the

**Squeeze Theorem**See here: Squeeze theorem - Wikipedia, the free encyclopedia

- October 25th 2007, 02:47 PMThePerfectHacker