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

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

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

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

1

Solution steps

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

Plug in the value

x = 1

= (1 + 1)^{1 - 1}

Simplify

= 1

x \to \infty lim (\frac{2 x}{2})

x \to 0 lim (x sec (x))

x \to 20 lim (5)

x \to 1 lim (ln (3 x^{2} - 2 x))

x \to 0 lim (\frac{2 x}{x ^{2} + 4 x})

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