Question

Evaluate the limit using L'Hopitals Rule:

lim as x approaches 0+ of (1+x)^cotx

Answer 1

\[\lim_{x \rightarrow 0} (1+x)^{\cot(x)}\]
yes?

Answer 2

Yes.

Answer 3

Is this from a text or from your instructor? because it fails the requirements for Bernoulli's rule (l'Hopital's)

Answer 4

your answer is going to be: e
but I don't think you can use Bernoulli's to do it.

Answer 5

How do you get that?

Answer 6

http://www.wolframalpha.com/input/?i=limit+x-%3E0%2B+%281%2Bx%29%5E%28cot%28x%29%29
is how I got it... but like I said, you cant use l'hopitals because it fails the requirements to do so.

Answer 7

okay, thanks.