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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

1

Solution steps

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

Apply exponent rules

= x \to 0 + lim (e^{x l n (s i n (x))})

Apply the Limit Chain Rule:

1

= 1

\int cot^{3} (3 x) d x

x^{2} e^{- x}

\frac{d}{d x} (\frac{- 2}{9 x ^{\frac{5}{3}}})

\int_{6}^{7} \frac{x}{x ^{2} + 4 x + 13} d x

\frac{\partial}{\partial y} (7 (x + 5 y - 4)^{2})

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