What is the limit as x approaches 0 of (a^x-1)^x ?

The limit as x approaches 0 of (a^x-1)^x is 1

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limit as x approaches 0 of (a^x-1)^x

x \to 0 lim ((a^{x} - 1)^{x})

1

Solution steps

x \to 0 lim ((a^{x} - 1)^{x})

Plug in the value

x = 0

= (a^{0} - 1)^{0}

Simplify

= 1

x \to 6 lim (10)

x \to - 2 lim (\frac{x + 1}{6 x - 3})

x \to 0 lim (\frac{2 - x}{1 + x})

x \to - 4 lim (- 6 x^{2} + 8 x - 3)

y \to 3 lim (y^{3} - 2 y + 7)

What is the limit as x approaches 0 of (a^x-1)^x ?
The limit as x approaches 0 of (a^x-1)^x is 1