Question

lim x approching 0 at sin(x) - x/x^3 = 0/0
using lhopital

cosx - 1/3x^2 = 0/0
-sin(x)/6x = 0/0
cos(X)/6 = 0 not sure if this is correct?

Answer 1

correct till
-sin x/6x
whats derivative of sin x?

Answer 2

cos

Answer 3

so, wouldn't it be
-cos x/6 ??

Answer 4

yeah @gohangoku58 is correct

Answer 5

oh -1/6

Answer 6

then you can directly put x=0

Answer 7

yes, -1/6 is correct :)