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

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

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limit as x approaches 0+of (x+1)^{In(x)}

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

1

Solution steps

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

Plug in the value

x = 0

= (0 + 1)^{I n \cdot 0}

Simplify

= 1

\frac{d}{d x} (- 5 sin (x) (x + 3 sin (x)))

(x^{9} - 2)^{3}

x \to 1 lim (2 - x)

\frac{\partial}{\partial x} (\frac{2 x y}{( x ^{2} - y ^{2} ) ^{2}})

y^{^{'}} - \frac{3}{x} y = 4 x^{3} cos (2 x)

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