What is the limit as x approaches 0+of (g(x))^{(ln(2))/x} ?

The limit as x approaches 0+of (g(x))^{(ln(2))/x} is 0

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limit as x approaches 0+of (g(x))^{(ln(2))/x}

x \to 0 + lim ((g (x))^{\frac{l n ( 2 )}{x}})

0

Solution steps

x \to 0 + lim (g (x)^{\frac{l n ( 2 )}{x}})

Apply exponent rules

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

Apply the Limit Chain Rule:

0

= 0

x \to 1 lim (\frac{x + 1}{∣ x + 1 ∣})

x \to - \frac{π}{2} - lim (cos (x))

x \to 0 lim (4 - 8 x + 5 x^{2})

x \to 2 lim (x^{3} + 2 x^{2} - 5)

x \to 1 lim (ln (x^{x - 1}))

What is the limit as x approaches 0+of (g(x))^{(ln(2))/x} ?
The limit as x approaches 0+of (g(x))^{(ln(2))/x} is 0