# Math Help - fracture of tailor serieses question..

1. ## fracture of tailor serieses question..

how do i know till what power do i develop the sinus on the denominator and sinus
in the numerator so ill get a correct answer.

because when i developed till x+o(x) i get that the numerator has axes
with smaller power then the denominator so ill get 0

but the correct answer is 1/3

??

2. Notice that when you only go to first order you get something of the form:

$\frac {0}{0}$ or $\frac{1}{0} - \frac {1}{0}$ which is indeterminate.

Generally, you need to take the series out to sufficient order such that the limit is no longer indeterminate.