# Should be easy Limit of a function

• Sep 29th 2008, 05:50 PM
swordth
Should be easy Limit of a function
Hey, I can't seen to figure out the limit of this function:

Lim (e^x)((sin10x)/x))
x->0

I know i can break it up as the limir of e^x and the limit of ((sin10x)/x), and i know as x-> e^x will become 1, but it's the ((sin10x)/x) section which is confusing me. Obviously I need to change it so that x is not in the denominator, but I'm not sure how to go about that (Headbang)

Any ideas?
• Sep 29th 2008, 05:52 PM
Jhevon
Quote:

Originally Posted by swordth
Hey, I can't seen to figure out the limit of this function:

Lim (e^x)((sin10x)/x))
x->0

I know i can break it up as the limir of e^x and the limit of ((sin10x)/x), and i know as x-> e^x will become 1, but it's the ((sin10x)/x) section which is confusing me. Obviously I need to change it so that x is not in the denominator, but I'm not sure how to go about that (Headbang)

Any ideas?

remember, $\displaystyle \lim_{x \to 0} \frac {\sin x}x = 1$

you have $\displaystyle \lim_{x \to 0} \frac {\sin 10x}x$

how can you write that in such a way as to find the limit?
• Sep 29th 2008, 05:59 PM
swordth
Quote:

Originally Posted by Jhevon
remember, $\displaystyle \lim_{x \to 0} \frac {\sin x}x = 1$

you have $\displaystyle \lim_{x \to 0} \frac {\sin 10x}x$

how can you write that in such a way as to find the limit?

ohh. of course, got it. thanks a lot :)