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Math Help - Should be easy Limit of a function

  1. #1
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    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

    Any ideas?
    Thanks for your help in advance!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by swordth View Post
    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

    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?
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  3. #3
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    Quote Originally Posted by Jhevon View Post
    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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