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

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

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 (7sin(x))/x

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

7

Solution steps

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

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

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

Apply L'Hopital's Rule

: x \to 0 lim (\frac{cos ( x )}{1})

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

Plug in the value

x = 0

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

Simplify

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

= 7

\frac{4 x}{3 - tan ( x )}

\int cos (θ) d θ

\frac{\partial}{\partial y} (x y e^{- x^{2} - y^{2}})

\int_{0}^{1} \frac{7}{x ( x + 1 )} d x

\int_{3}^{5} \frac{1}{x - 4} d x

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