f-x-2-x-0-x-t-2-1-t-2-dt-calculate-lim-x-0-f-x-

Question Number 146497 by mathmax by abdo last updated on 13/Jul/21

f (x) = \frac{2}{x} \int_{0}^{x} \frac{t^{2}}{\sqrt{1 + t^{2}}} dt calculate \lim_{x \to 0} f (x)

Answered by gsk2684 last updated on 13/Jul/21

\lim_{x \to 0} \frac{2 \underset{0}{\int^{x}} \frac{t^{2}}{\sqrt{1 + t^{2}}} d t}{x} a p p l y L^{'} H o p i t a l s r u l e

2 \lim_{x \to 0} \frac{(\frac{x^{2}}{\sqrt{1 + x^{2}}})}{1} = 0

Facebook Tweet Pin