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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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?
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
Originally Posted by alexandrabel90 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 $\displaystyle x=\sin y$. As $\displaystyle x\to 0$, $\displaystyle y\to0$ as well. Now we have $\displaystyle \lim_{x\to0}\frac{x}{\arcsin x}=\lim_{y\to0}\frac{\sin y}{y}$
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