Should be easy Limit of a function

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September 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?
Thanks for your help in advance!
September 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?
Thanks for your help in advance!

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

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

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

Quote:

Originally Posted by Jhevon

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

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

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

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

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