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

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

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

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

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

Decimal Notation

0.13533 \dots

Solution steps

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

Plug in the value

x = 2

= e^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

x \to \frac{π}{2} - lim (1 - sin (x))

x \to 0 + lim (x ln (x^{9}))

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

x \to 0 + lim (\frac{1}{tan ^{2} ( x )})

x \to 0 lim ((1 - 2 x)^{\frac{6}{x}})

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