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Math Help - Rational trig limit

  1. #1
    Member nautica17's Avatar
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    Rational trig limit

    I need some help with this trig limit. lim as x -> 0 of ( sin(x) / 5 sqrt(x) ) I've splitting things up like so: ( sin(x) / x) * ( x / 5 sqrt(x) ) And I figure that gives me: 1 * ( x / 5 sqrt(x) ) But I'm not sure what to do from there, or let alone whether I am doing this correctly or not. The answer in the book says it should be 0. Any help getting this please?


    Edit: I spaced things out and why does my whole post end up in 2 lines?
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  2. #2
    Member roshanhero's Avatar
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    Now break x as sqrt(x)*sqrt(x) in the numerator and cancel sqrt(x)
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  3. #3
    Member nautica17's Avatar
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    Quote Originally Posted by roshanhero View Post
    Now break x as sqrt(x)*sqrt(x) in the numerator and cancel sqrt(x)
    Thank-you!
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