What is the limit as x approaches 0 of 2^{(1/(|x|))} ?

The limit as x approaches 0 of 2^{(1/(|x|))} is infinity

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limit as x approaches 0 of 2^{(1/(|x|))}

x \to 0 lim (2^{(\frac{1}{∣ x ∣})})

\infty

Solution steps

x \to 0 lim (2^{\frac{1}{∣ x ∣}})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (2^{\frac{1}{∣ x ∣}}) = \infty

x \to 0 + lim (2^{\frac{1}{∣ x ∣}}) = \infty

= \infty

What is the limit as x approaches 0 of 2^{(1/(|x|))} ?
The limit as x approaches 0 of 2^{(1/(|x|))} is infinity