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

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

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

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

0

Solution steps

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

Plug in the value

x = 1

= 1 - 1 + ln (1)

Simplify

1 - 1 + ln (1) : 0

= 0

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