What is the limit as x approaches 0 of (12+x)^x ?

The limit as x approaches 0 of (12+x)^x is 1

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limit as x approaches 0 of (12+x)^x

x \to 0 lim ((12 + x)^{x})

1

Solution steps

x \to 0 lim ((12 + x)^{x})

Plug in the value

x = 0

= (12 + 0)^{0}

Simplify

= 1

x \to - 1 lim (3 x + 2)

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

x \to 0 lim (\frac{tan ^{2} ( 4 x )}{1 - cos ( 5 x )})

x \to - 2 lim (\frac{0}{x + 2})

x \to 5 - lim (ln (x - 5))

What is the limit as x approaches 0 of (12+x)^x ?
The limit as x approaches 0 of (12+x)^x is 1