What is the limit as x approaches 0 of e^{x^2} ?

The limit as x approaches 0 of e^{x^2} is 1

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limit as x approaches 0 of e^{x^2}

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

1

Solution steps

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

Plug in the value

x = 0

= e^{0^{2}}

Simplify

= 1

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What is the limit as x approaches 0 of e^{x^2} ?
The limit as x approaches 0 of e^{x^2} is 1