If the function is continuous at

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

If the function

f(x)=\frac{\sqrt{1+x}-\sqrt[3]{1+x}}{x}

is continuous at

x=0

, then

f(0)

is equal to (1)

2

(2)

\frac{1}{4}

(3)

\frac{1}{6}

(4)

\frac{1}{3}