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Single Variable Calculus

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Moderate

Using L'Hopital's Rule with Partial Information

SVCALC-DXMILM

Suppose $f$ is a continuous function with $f(1)=0$ and $f'(1)=3$. Evaluate

$$\lim_{x\to0}\dfrac{f(1+x)-f(1-2x)}{x}$$

A

0

B

1

C

3

D

9