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Math Help - A trigonometric limit problem

  1. #1
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    A trigonometric limit problem

    I took a quiz today, and I messed up on this question.

    Limit of (sin x^1/3)/(x^1/3)

    I put down 1 as the answer, but I didn't know how to show my work. All I did was memorize the special limit. Is there another way to do this besides the sandwich theorem?

    Thank you
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Wyau View Post
    I took a quiz today, and I messed up on this question.

    Limit of (sin x^1/3)/(x^1/3)

    I put down 1 as the answer, but I didn't know how to show my work. All I did was memorize the special limit. Is there another way to do this besides the sandwich theorem?

    Thank you
    i suppose it was the limit as x goes to zero?

    you could use L'Hopital's rule if you learned it
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  3. #3
    Math Engineering Student
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    \lim_{u\to0}\frac{\sin u}u=1

    What about if you define a change of variables according to u=x^{1/3}?
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