What is the limit as x approaches 1 of e^{x^2-3} ?

The limit as x approaches 1 of e^{x^2-3} is 1/(e^2)

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limit as x approaches 1 of e^{x^2-3}

x \to 1 lim (e^{x^{2} - 3})

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

Decimal

0.13533 \dots

Solution steps

x \to 1 lim (e^{x^{2} - 3})

Plug in the value

x = 1

= e^{1^{2} - 3}

Simplify

e^{1^{2} - 3} : \frac{1}{e ^{2}}

= \frac{1}{e ^{2}}

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

x \to 0 lim (\frac{tan ( \frac{x}{2} )}{x})

x \to 0 lim (- tan (x))

x \to \frac{3 π}{4} - lim (2 sec (x))

x \to 0 lim (\frac{3 ^{x} - 1}{4 x})

What is the limit as x approaches 1 of e^{x^2-3} ?
The limit as x approaches 1 of e^{x^2-3} is 1/(e^2)