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

The limit as x approaches 0-of 2^{1/x} is 0

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limit as x approaches 0-of 2^{1/x}

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

0

Solution steps

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

Apply exponent rules

= x \to 0 - lim (e^{\frac{1}{x} l n (2)})

Apply the Limit Chain Rule:

0

= 0

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\int (x + 1) (6 x - 5) d x

What is the limit as x approaches 0-of 2^{1/x} ?
The limit as x approaches 0-of 2^{1/x} is 0