What is the limit as x approaches+0 of (sin(x^2))/x ?

The limit as x approaches+0 of (sin(x^2))/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^2))/x

x \to + 0 lim (\frac{sin ( x ^{2} )}{x})

0

Solution steps

x \to 0 lim (\frac{sin ( x ^{2} )}{x})

Apply L'Hopital's Rule

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

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

Plug in the value

x = 0

= \frac{cos ( 0 ^{2} ) \cdot 2 \cdot 0}{1}

Simplify

\frac{cos ( 0 ^{2} ) \cdot 2 \cdot 0}{1} : 0

= 0

n = 0 \sum \infty 7^{- n}

y = (4 x^{2} + x) (x - x^{2})

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

x \to 3 lim (+ (- 1))

\frac{d}{d t} (e^{7 t} e^{4 i t})

What is the limit as x approaches+0 of (sin(x^2))/x ?
The limit as x approaches+0 of (sin(x^2))/x is 0