calculate-lim-x-0-x-n-sinx-sin-x-n-x-with-n-integr-natural-

Question Number 44467 by maxmathsup by imad last updated on 29/Sep/18

c a l c u l a t e {l i m}_{x \to 0} \frac{x^{n} s i n x - s i n (x^{n})}{x} w i t h n i n t e g r n a t u r a l .

Answered by tanmay.chaudhury50@gmail.com last updated on 30/Sep/18

\lim_{x \to 0} \frac{x^{n} c o s x + s i n x \times {n x}^{n - 1} - c o s (x^{n}) \times {n x}^{n - 1}}{1}

= 0