What is the limit as x approaches 3 of (x^2-25)/(sqrt(x^2+11)) ?

The limit as x approaches 3 of (x^2-25)/(sqrt(x^2+11)) is -8/(sqrt(5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 3 of (x^2-25)/(sqrt(x^2+11))

x \to 3 lim (\frac{x ^{2} - 25}{x ^{2} + 11})

- \frac{8}{5}

Decimal

- 3.57770 \dots

Solution steps

x \to 3 lim (\frac{x ^{2} - 25}{x ^{2} + 11})

Plug in the value

x = 3

= \frac{3 ^{2} - 25}{3 ^{2} + 11}

Simplify

\frac{3 ^{2} - 25}{3 ^{2} + 11} : - \frac{8}{5}

= - \frac{8}{5}

\int_{0}^{2} 2 e^{- 3 x} d x

\frac{d}{d x} ((x^{\frac{1}{3}} - 1)^{3})

x y^{^{'}} = y + 3 x^{2} sin (x), y (π) = 0

\int_{2}^{4} \frac{1}{x ^{2} - 25} d x

x \to 0 lim ((4 x)^{7 x})

What is the limit as x approaches 3 of (x^2-25)/(sqrt(x^2+11)) ?
The limit as x approaches 3 of (x^2-25)/(sqrt(x^2+11)) is -8/(sqrt(5))