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Math Help - Limit involving e.

  1. #1
    Member nautica17's Avatar
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    Limit involving e.

    lim as x->0 of e^sin(x)

    I know how to solve similar limits involving trig functions and all, but this one doesn't make sense. If the limit as x->0 of e^x by itself is 0 and the limit of sin is 0 as well, then wouldn't the answer be 0? I know the answer to the above problem is 1, but why? How do you split up sin and e to solve the limit?
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  2. #2
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    skeeter's Avatar
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    Quote Originally Posted by nautica17 View Post
    lim as x->0 of e^sin(x)

    I know how to solve similar limits involving trig functions and all, but this one doesn't make sense. If the limit as x->0 of e^x by itself is 0 and the limit of sin is 0 as well, then wouldn't the answer be 0? I know the answer to the above problem is 1, but why? How do you split up sin and e to solve the limit?
    note that e^0 = 1
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  3. #3
    Member nautica17's Avatar
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    Ahhh... okay now I see. That was an obvious one. >.< Thank-you!
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