What is the limit as x approaches 0 of 1/(x+1)-1 ?

The limit as x approaches 0 of 1/(x+1)-1 is 0

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limit as x approaches 0 of 1/(x+1)-1

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

0

Solution steps

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

Plug in the value

x = 0

= \frac{1}{0 + 1} - 1

Simplify

= 0

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What is the limit as x approaches 0 of 1/(x+1)-1 ?
The limit as x approaches 0 of 1/(x+1)-1 is 0