Question

i want this answer please... ​

Answer 1

Step-by-step explanation:

We have,

$\lim _{x \rarr0} \frac{ \sin(a + bx) - \sin(a - bx) }{x}$

$\implies \lim _{x \rarr0} \frac{2 \cos(a) \sin( bx) }{x}$

$\implies 2 \cos(a) \lim _{x \rarr0} \frac{ \sin( bx) \times b}{bx}$

$\implies 2 b\cos(a) \lim _{bx \rarr0} \frac{ \sin( bx) \times b}{bx}$

$\implies \: 2b \cos(a)$