What is the limit as x approaches 0+of 5x^{sin(x)} ?

The limit as x approaches 0+of 5x^{sin(x)} is 5

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 5x^{sin(x)}

x \to 0 + lim (5 x^{s i n (x)})

5

Solution steps

x \to 0 + lim (5 x^{s i n (x)})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= 5 \cdot x \to 0 + lim (x^{s i n (x)})

Apply exponent rules

= 5 \cdot x \to 0 + lim (e^{s i n (x) l n (x)})

Apply the Limit Chain Rule:

1

= 5 \cdot 1

Simplify

= 5

cos (x) \frac{π}{2}

y^{^{'}} = a y + b

\int_{0}^{\frac{1}{2}} \frac{4}{1 + 4 x ^{2}} d x

\int \frac{1}{2 ( x ^{2} + 1 )} d x

\int \frac{1}{x ^{2}} x^{'} d x

What is the limit as x approaches 0+of 5x^{sin(x)} ?
The limit as x approaches 0+of 5x^{sin(x)} is 5