What is the limit as y approaches 0 of y/(sin(5y)) ?

The limit as y approaches 0 of y/(sin(5y)) is 1/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as y approaches 0 of y/(sin(5y))

y \to 0 lim (\frac{y}{sin ( 5 y )})

\frac{1}{5}

Decimal

0.2

Solution steps

y \to 0 lim (\frac{y}{sin ( 5 y )})

Apply L'Hopital's Rule

: y \to 0 lim (\frac{1}{cos ( 5 y ) \cdot 5})

= y \to 0 lim (\frac{1}{cos ( 5 y ) \cdot 5})

Plug in the value

y = 0

= \frac{1}{cos ( 5 \cdot 0 ) \cdot 5}

cos (5 \cdot 0) \cdot 5 = 5

= \frac{1}{5}

x \to 2 lim (x - 4)

e^{x - 2}

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

7 x^{2} + 4

θ \to 0 lim (\frac{sin ( 2 θ )}{θ})

What is the limit as y approaches 0 of y/(sin(5y)) ?
The limit as y approaches 0 of y/(sin(5y)) is 1/5