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

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

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

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

- 1

Solution steps

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

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

x \to 0 + lim (1) = 1

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

= - 1 + 0

Simplify

= - 1

x \to - 3 + lim (\frac{x + 1}{x ^{2} - 9})

x \to 4 lim (\frac{x - 4}{4 - x})

x \to 0 lim (\frac{7 ^{x} - 1}{5 x})

x \to \frac{π}{4} lim (\frac{4 x}{tan ( x )})

x \to 2 lim (\frac{7}{x - 1})

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