What is the limit as x approaches 0 of (1+1/x)x ?

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

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limit as x approaches 0 of (1+1/x)x

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

1

Solution steps

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

Simplify

(1 + \frac{1}{x}) x : x + 1

= x \to 0 lim (x + 1)

Plug in the value

x = 0

= 0 + 1

Simplify

= 1

x \to - 3 + lim (x + 5)

x \to \infty lim (4 (x))

x \to 2 lim (ln (x + 4))

x \to 4 lim (4 x - 9)

x \to 5 lim (0)

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