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) \cdot 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 - \infty lim (x, 3)

x \to 0 + lim ((ln (x + 1))^{x})

x \to 2 lim (\frac{x ^{2} + 5}{x + 1})

x \to 7 - lim (\frac{( x ^{2} - 5 x - 14 )}{x ^{2} - 49})

n \to \infty lim (n x^{n})

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