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

The limit as x approaches 1 of xln(x)-x is -1

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limit as x approaches 1 of xln(x)-x

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

- 1

Solution steps

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

Plug in the value

x = 1

= 1 \cdot ln (1) - 1

Simplify

1 \cdot ln (1) - 1 : - 1

= - 1

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What is the limit as x approaches 1 of xln(x)-x ?
The limit as x approaches 1 of xln(x)-x is -1