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Math Help - arcsin

  1. #1
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    arcsin

    may i know how do you find the lim ( x/ arcsin x) as x tends to 0 using sub
    y = sin x?
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  2. #2
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    Question

    Does "using sub y = sinx" mean that you are supposed to use a substitution, such as "x = sin(y)"...? Are you familiar with l'Hospital's Rule?
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  3. #3
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    no. i haven learn l'hospital rule. but from my notes, the hint given for this question is use substitution...

    so im not sure if it is sub y= sin x or x= siny..but it should be the same
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  4. #4
    Super Member redsoxfan325's Avatar
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    Quote Originally Posted by alexandrabel90 View Post
    no. i haven learn l'hospital rule. but from my notes, the hint given for this question is use substitution...

    so im not sure if it is sub y= sin x or x= siny..but it should be the same
    Let x=\sin y. As x\to 0, y\to0 as well.

    Now we have

    \lim_{x\to0}\frac{x}{\arcsin x}=\lim_{y\to0}\frac{\sin y}{y}
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