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

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

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

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

1 - \frac{1}{e - 1}

Decimal Notation

0.41802 \dots

Solution steps

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

Plug in the value

x = 1

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

Simplify

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

ln (x + x^{2} - 1)

\frac{\partial}{\partial x} (e^{x + y} (x^{2} - y^{2}))

\int_{0}^{1} (x^{2} + x) d x

\int_{- 1}^{2} 3 x 3 x^{2} + 2 d x

\int 10 d x

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