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

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

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

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

\frac{1}{e}

Decimal Notation

0.36787 \dots

Solution steps

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

Plug in the value

x = 1

= e^{1^{2} - 2}

Simplify

e^{1^{2} - 2} : \frac{1}{e}

= \frac{1}{e}

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

x \to 0 lim (\frac{∣ x ∣}{x})

x \to 4 - lim (x^{2} + 7 - x)

x \to 0 lim (1 + sin (x))

x \to \infty lim (x (e^{0 \cdot x} - 1))

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