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Popular Calculus >

limit as x approaches 0+of (1+sqrt(x))^x

Solution

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

Solution

1

Solution steps

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

Plug in the value

x = 0

= (1 + 0)^{0}

Simplify

= 1

Graph

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Frequently Asked Questions (FAQ)

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