What is the limit as x approaches 2-of 9^{((-1))/x} ?

The limit as x approaches 2-of 9^{((-1))/x} is 1/3

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limit as x approaches 2-of 9^{((-1))/x}

x \to 2 - lim (9^{\frac{( - 1 )}{x}})

\frac{1}{3}

Decimal

0.33333 \dots

Solution steps

x \to 2 - lim (9^{\frac{- 1}{x}})

Plug in the value

x = 2

= 9^{\frac{- 1}{2}}

Simplify

9^{\frac{- 1}{2}} : \frac{1}{3}

= \frac{1}{3}

x \to 0 lim (csc (x) + \frac{1}{x})

x \to \infty lim (5 x e^{x})

x \to 3 - lim (\frac{3 x}{x - 3})

x \to + 0 lim (sin (\frac{1}{x}))

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

What is the limit as x approaches 2-of 9^{((-1))/x} ?
The limit as x approaches 2-of 9^{((-1))/x} is 1/3