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

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

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limit as x approaches 0 of (x+1)ln(x+1)

x \to 0 lim ((x + 1) ln (x + 1))

0

Solution steps

x \to 0 lim ((x + 1) ln (x + 1))

Plug in the value

x = 0

= (0 + 1) ln (0 + 1)

Simplify

(0 + 1) ln (0 + 1) : 0

= 0

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