What is the limit as x approaches 0 of (sin(x^7))/x ?

The limit as x approaches 0 of (sin(x^7))/x is 0

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^7))/x

x \to 0 lim (\frac{sin ( x ^{7} )}{x})

0

Solution steps

x \to 0 lim (\frac{sin ( x ^{7} )}{x})

Apply L'Hopital's Rule

: x \to 0 lim (\frac{cos ( x ^{7} ) \cdot 7 x ^{6}}{1})

= x \to 0 lim (\frac{cos ( x ^{7} ) \cdot 7 x ^{6}}{1})

Plug in the value

x = 0

= \frac{cos ( 0 ^{7} ) \cdot 7 \cdot 0 ^{6}}{1}

Simplify

\frac{cos ( 0 ^{7} ) \cdot 7 \cdot 0 ^{6}}{1} : 0

= 0

x \to - 2 + lim (\frac{- 1}{x ^{2} - 4})

\int s 5^{s} d s

\frac{1}{x ^{3}}

sin (tan (2 x))

\frac{\partial}{\partial s} (2 s t)

What is the limit as x approaches 0 of (sin(x^7))/x ?
The limit as x approaches 0 of (sin(x^7))/x is 0