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

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

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limit as x approaches-1/2 of e^x

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

\frac{1}{e}

Decimal Notation

0.60653 \dots

Solution steps

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

Plug in the value

x = - \frac{1}{2}

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

Apply exponent rule:

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

= \frac{1}{e}

x \to 0 + lim (3 x ln (\frac{1}{x}))

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

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

x \to 1 lim (x^{2} - 4 x + 5)

x \to 2 + lim (\frac{3 x + 1}{2 - x})

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