What is the limit as x approaches 10 of 2^{1/(x-10)} ?

The limit as x approaches 10 of 2^{1/(x-10)} is diverges

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limit as x approaches 10 of 2^{1/(x-10)}

x \to 10 lim (2^{\frac{1}{x - 10}})

diverges

Solution steps

x \to 10 lim (2^{\frac{1}{x - 10}})

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

then the limit does not exist

x \to 10 + lim (2^{\frac{1}{x - 10}}) = \infty

x \to 10 - lim (2^{\frac{1}{x - 10}}) = 0

= diverges

y^{^{'}} = \frac{y ^{2}}{1 + y ^{2}}

f (x) = 2 x^{3} + 3 x^{2} - 12 x + 4

\frac{\partial}{\partial x} (c y^{- 3})

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

3 x^{4}

What is the limit as x approaches 10 of 2^{1/(x-10)} ?
The limit as x approaches 10 of 2^{1/(x-10)} is diverges