Find the value of the c that makes the function f(x)={(9x-3sin3x)/5x^3, x! =0

I'm going to guess the function is



and that you are asked to find such that is continuous at . For this to be the case, we require that the limit at exists and is equal to :



L'Hopital's rule applies, since evaluating directly at yields an indeterminate form :



Taking again yields . Applying once more, we have



We could use the rule again, or make use of the fact that



for any non-zero value of . So



which agrees with the result we would have gotten had we used L'Hopital's rule:

Dis the correct  answer

1.3 and 1 1/3 are both closest to 1. hope this ; )