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

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

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

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

e^{2}

Decimal Notation

7.38905 \dots

Solution steps

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

Plug in the value

x = 2

= e^{2^{2} - 2}

Simplify

= e^{2}

x \to 3 lim (\frac{5 x + 3}{x - 1})

x \to 0 lim (\frac{cos ( x )}{1})

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

x \to - \infty lim (\frac{a x ^{2} + b x + c}{d - a x})

x \to 0 lim (4 x^{2} + 3 x - 2)

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