What is the limit as x approaches 0+of x^{4*sin(x)} ?

The limit as x approaches 0+of x^{4*sin(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 x^{4*sin(x)}

x \to 0 + lim (x^{4 \cdot s i n (x)})

1

Solution steps

x \to 0 + lim (x^{4 s i n (x)})

Apply exponent rules

= x \to 0 + lim (e^{4 s i n (x) l n (x)})

Apply the Limit Chain Rule:

1

= 1

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

x \to 9 lim (\frac{( x ^{2} - 81 )}{3 - x})

x \to 3 lim (- 4 x^{3} + 2 x + 12)

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

x \to \infty lim (\frac{x}{30})

What is the limit as x approaches 0+of x^{4*sin(x)} ?
The limit as x approaches 0+of x^{4*sin(x)} is 1