What is the limit as x approaches 0 of (5+x)^x ?

The limit as x approaches 0 of (5+x)^x is 1

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limit as x approaches 0 of (5+x)^x

x \to 0 lim ((5 + x)^{x})

1

Solution steps

x \to 0 lim ((5 + x)^{x})

Plug in the value

x = 0

= (5 + 0)^{0}

Simplify

= 1

(2 x e^{x} - y^{2}) d x + 2 y d y = 0

y = (x^{4} + 2)^{2} (x^{3} + 4)^{4}

\int - 3 x^{2} sin (π x) d x

y^{^{''}} - 2 y^{^{'}} - 15 y = 3

\frac{\partial}{\partial x} (x^{\frac{1}{2}} \cdot y)

What is the limit as x approaches 0 of (5+x)^x ?
The limit as x approaches 0 of (5+x)^x is 1