I need to found a limit, x->0 of (e^x + sinx)^ctgx, but without L'Hospital rule. I know how to get it with L'H, and I see it is 1^inf form, and i need to get it on form 1 + somthing, but how ? Any ideas?

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- Aug 25th 2012, 07:51 AMDonnieDarkoLimit problem
I need to found a limit, x->0 of (e^x + sinx)^ctgx, but without L'Hospital rule. I know how to get it with L'H, and I see it is 1^inf form, and i need to get it on form 1 + somthing, but how ? Any ideas?

- Aug 25th 2012, 07:54 AMProve ItRe: Limit problem
- Aug 25th 2012, 08:20 AMDonnieDarkoRe: Limit problem
cot(x), or cotangent function. 1/tan(x)

- Aug 25th 2012, 08:25 AMProve ItRe: Limit problem

This is now in form, so you can apply L'Hospital's Rule. - Aug 25th 2012, 08:47 AMDonnieDarkoRe: Limit problem
I know that, but I must solve it without applying L'Hospital's Rule anywhere.

- Aug 26th 2012, 02:25 AMDonnieDarkoRe: Limit problem
Solved. Here's the solution.

http://www4.picturepush.com/photo/a/...20/9063337.jpg