calculate-lim-x-0-0-x-cos-n-1-t-dt-x-

Question Number 167100 by qaz last updated on 06/Mar/22

calculate :: \lim_{x \to 0^{+}} \frac{\int_{0}^{x} \cos^{n} (\frac{1}{t}) dt}{x} = ?

Commented by mindispower last updated on 09/Mar/22

i d e l e a t m y s o l u t i o n i s e e m y e r r o r

i w i l [p o s t a s o l u t i o n l a t e r

T h a n x s i r

Answered by Mathspace last updated on 07/Mar/22

{l i m}_{x \to 0 +} \frac{\int_{0}^{x} {c o s}^{n} (\frac{1}{t}) d t}{x}

= {l i m}_{x \to o +} {c o s}^{n} (\frac{1}{x}) \to n o l i m i t . .!