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

The limit as x approaches 0+of (1+x^{-2})^x is (1+0^{-2})^0

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limit as x approaches 0+of (1+x^{-2})^x

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

(1 + 0^{- 2})^{0}

Solution steps

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

Plug in the value

x = 0

= (1 + 0^{- 2})^{0}

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