Question

If $f(0) = 0 = g(0)$ and $f'(0) = 6 = g'(0)$, then $\lim_{x \to 0} \frac{f(x)}{g(x)}$ is given by

• A. 1
• B. 0
• C. 12
• D. -1

Answer 1

Answer: (A)

1

Answer 2

$\lim_{x \to0} \frac{f\left(x\right)}{g\left(x\right)} = \lim_{x \to0} \frac{f'\left(0\right)}{g'\left(0\right)}$ (By L? $= \frac{6}{6} = 1$