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

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

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

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

1

Solution steps

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

Plug in the value

x = 0

= (1 + sin (0))^{0}

Simplify

= 1

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

n \to \infty lim (- 5)

x \to - 6 lim (x^{2} + 7 x^{- 2})

x \to 2 lim (3 x^{2} - 8 x + 1)

x \to 0 - lim (4 (csc (x) - \frac{1}{x}))

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