Posted by **W** on Thursday, January 19, 2012 at 10:56pm.

How do I find the limit of (1+sin(pi times x))^(1/x) as x approaches 0? I tried using wolframalpha, but am unable to understand their steps. My thinking is that you set y=the limit and use L'hopital's rule a couple times. The answer I got was y=e^0--->y=1, but the answer isn't right.

Thanks a ton in advance!

- Calculus -
**Steve**, Friday, January 20, 2012 at 5:23am
The steps on wolframalpha looked pretty clear to me. There was a lot of formal shifting of limit of product as product of limits, etc, but they basically used

lim sinx/x = 1 as x->0

lim sin(pi*x) / (pi*x)/pi = pi

## Answer This Question

## Related Questions

- math - How to solve for delta using trig functions? i.e. cosine sine tangent ...
- Calculus - Could someone please help me with these questions;I was having ...
- calculus - find the limit of f'(x) = 1/(√x) using the limit definition of ...
- Calculus - Evaluate the limit. The limit as x approaches 0 of (x-sin(x))/(x-tan(...
- calculus help - consider lim -->0^+ 1)sin(4x)/sin(3x) find the limit using a ...
- calculus verify answer - Evaluate the limit: Limit as x approaches 6 from the ...
- Calculus - Evaluate the limit using algebraic techniques. limit of (x^2 - 25)/(x...
- Calculus - 1. Evaluate the function at the given numbers (correct to six ...
- Calculus - Graph the function f(x)= x sin( 1/x) and the equations y=|x| and y...
- Calculus - Find the positive integers k for which lim ->0 sin(sin(x))/x^k ...

More Related Questions