Question

$\lim_{x \to 0} \frac{sin (ax)}{bx} =$

• A. a/b
• B. b/a
• C. a
• D. b

Answer 1

Answer:

A. a/b

$\lim_{x \to 0} \frac{sin (ax)}{bx}$

$=\lim_{x \to 0} \frac{sin (ax)}{ax} \times \frac{a}{b}$

$= 1 \times \frac{a}{b}= \frac{a}{b}$