SOLUTION: if limit x tends to zero then find (x-arcsinx)/sin^3x

Algebra ->  Trigonometry-basics -> SOLUTION: if limit x tends to zero then find (x-arcsinx)/sin^3x      Log On


   



Question 1089787: if limit x tends to zero then find (x-arcsinx)/sin^3x
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Apply L'Hôpital's Rule three times. Use an on-line derivative calculator to keep yourself from going completely bat sh*t crazy. (http://www.derivative-calculator.net/). After the third iteration, the numerator goes to -1 and the denominator goes to 6 as x goes to zero.

John

My calculator said it, I believe it, that settles it