Evaluate:

Limit (sin^-1 y * sin y – y²)/y⁶
y → 0

Bonus Question:

Work out the following limit:

Limit (tan^-1 y * tan y – y²)/y⁶
y → 0

simply take the 6th derivatives of the numerator and denomonators.  That gets rid of division by zero and allows you to simply evaluate at 0.   I used Mathematica to do this and got 1/18 for the first limit and 2/9 for the second.

Posted by Daniel on 2008-06-02 13:43:06