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

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

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

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

- 1

Solution steps

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

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

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

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

x \to 0 + lim (1) = 1

= 0 - 1

Simplify

= - 1

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