What is the limit as z approaches 0 of (sin(10z))/z ?

The limit as z approaches 0 of (sin(10z))/z is 10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as z approaches 0 of (sin(10z))/z

z \to 0 lim (\frac{sin ( 10 z )}{z})

10

Solution steps

z \to 0 lim (\frac{sin ( 10 z )}{z})

Apply L'Hopital's Rule

: z \to 0 lim (\frac{cos ( 10 z ) \cdot 10}{1})

= z \to 0 lim (\frac{cos ( 10 z ) \cdot 10}{1})

Plug in the value

z = 0

= \frac{cos ( 10 \cdot 0 ) \cdot 10}{1}

Simplify

\frac{cos ( 10 \cdot 0 ) \cdot 10}{1} : 10

= 10

\int arcsin (4 x) d x

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

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

y = 2 x + 15, y = x^{2}

f (t) = t + 1

What is the limit as z approaches 0 of (sin(10z))/z ?
The limit as z approaches 0 of (sin(10z))/z is 10