AP® Calculus AB-BC

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Algebraic Limit and Challenging Exponential

APCALC-MM4YLX

Consider the function, $f(x) = \dfrac{1}{{4 + {4^{\frac{1}{x}}}}}$.

Find the value of $\lim \limits_{x \to {0^ - }}f(x)$.

A

$\cfrac{1}{5}$

B

$\cfrac{1}{4}$

C

$0$

D

The limit does not exist.