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

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

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

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

\frac{1}{2}

Decimal

0.5

Solution steps

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

Plug in the value

x = 1

= 2^{\frac{1}{1 - 2}}

Simplify

2^{\frac{1}{1 - 2}} : \frac{1}{2}

= \frac{1}{2}

\int \frac{9 - x ^{2}}{x ^{2}} d x

y^{^{'}} = t^{0.5}, y (0) = 0

\frac{d}{d x} (5 x e^{3 x})

\int_{0}^{\frac{π}{3}} 8 sec^{3} (x) d x

t an g e n t f (x) = 7 x + 2, (2, 4)

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