What is the limit as x approaches 0+of x^{x+1} ?

The limit as x approaches 0+of x^{x+1} is 0

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limit as x approaches 0+of x^{x+1}

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

0

Solution steps

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

Plug in the value

x = 0

= 0^{0 + 1}

Simplify

= 0

x \to \infty lim (- 3 x^{5})

x \to - 2 - lim (\frac{x + 4}{x ^{2} - 4})

x \to 0 lim (8 x + 5)

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

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

What is the limit as x approaches 0+of x^{x+1} ?
The limit as x approaches 0+of x^{x+1} is 0