Question

\[\lim_{x \rightarrow 0}\frac{ sinx - x }{ x^3 }\]

Answer 1

can u use L'Hopital's ?

Answer 2

Nope

Answer 3

l'hopital in a couple steps or if you know the power series expansion then it real quick

Answer 4

use expansion,,should help..

Answer 5

are you allowed to use power series? or do you have to do some algebraic gymnastics and trickery?

Answer 6

do some algebraic gymnastics

Answer 7

@Yahoo! u just need to derive it 3 times, u will get the answer

Answer 8

i dont think this can be manipulated algebrically,i may be wrong,,i'd say power series is the best alternative..