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

The limit as x approaches 0 of (arcsin(x))/x is 1

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 (arcsin(x))/x

x \to 0 lim (\frac{arcsin ( x )}{x})

1

Solution steps

x \to 0 lim (\frac{arcsin ( x )}{x})

Apply L'Hopital's Rule

: x \to 0 lim (\frac{\frac{1}{1 - x ^{2}}}{1})

= x \to 0 lim (\frac{\frac{1}{1 - x ^{2}}}{1})

Plug in the value

x = 0

= \frac{\frac{1}{1 - 0 ^{2}}}{1}

Simplify

\frac{\frac{1}{1 - 0 ^{2}}}{1} : 1

= 1

\frac{\partial}{\partial y} (sin (y) - tan (x) - y)

ln (x e^{- 2 x})

\int \frac{x - 2}{x + 2} d x

y = x^{3} - 3 x + 5, (3, 23)

\frac{d}{d t} (5 sin (t) cos (t))

What is the limit as x approaches 0 of (arcsin(x))/x ?
The limit as x approaches 0 of (arcsin(x))/x is 1