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

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

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limit as x approaches 1 of e^{x^2}

x \to 1 lim (e^{x^{2}})

e

Decimal

2.71828 \dots

Solution steps

x \to 1 lim (e^{x^{2}})

Plug in the value

x = 1

= e^{1^{2}}

Simplify

= e

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

x \to 2 lim (arctan (x))

x \to 0 lim (\frac{( x )}{x})

x \to 3 lim (3 1 - x)

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

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