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

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

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limit as x approaches-1-of 1/(x-1)+e^x

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

- \frac{1}{2} + \frac{1}{e}

Decimal Notation

- 0.13212 \dots

Solution steps

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

Plug in the value

x = - 1

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

Simplify

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

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

\frac{d}{d t} (3 t)

\int \frac{( x ^{2} + 2 x + 1 )}{( x + 3 )} d x

\frac{d y}{d t} = y^{2} - 4

f (x) = 7 x + 1

y^{^{'}} = \frac{x}{1 + 2 y}, y (- 1) = 0

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