Question

tan 3x - x
(v) Lim
→0 5x - sin x​

Answer 1

Answer:

$\lim_{x \to \0} (tan3x-x)/(5x-sinx)$=2/5

Step-by-step explanation:

$\lim_{x \to \0} (tan3x-x)/(5x-sinx)$

using series approximation sinx = x and tanx =x when x->0

$=\lim_{x \to \0}(3x-x)/(5x-x)\\ =\lim_{x \to \0}2x/5x\\=2/5$