What is the limit as x approaches 1 of (e^x)/(x^2) ?

The limit as x approaches 1 of (e^x)/(x^2) is e

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limit as x approaches 1 of (e^x)/(x^2)

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

e

Decimal

2.71828 \dots

Solution steps

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

Plug in the value

x = 1

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

Simplify

= e

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

x \to \frac{π}{2} - lim (sin (x))

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