What is the limit as x approaches-15+of (sqrt(x+15)+15)/(x^2-15) ?

The limit as x approaches-15+of (sqrt(x+15)+15)/(x^2-15) is 1/14

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches-15+of (sqrt(x+15)+15)/(x^2-15)

x \to - 15 + lim (\frac{x + 15 + 15}{x ^{2} - 15})

\frac{1}{14}

Decimal Notation

0.07142 \dots

Solution steps

x \to - 15 + lim (\frac{x + 15 + 15}{x ^{2} - 15})

Plug in the value

x = - 15

= \frac{- 15 + 15 + 15}{( - 15 ) ^{2} - 15}

Simplify

\frac{- 15 + 15 + 15}{( - 15 ) ^{2} - 15} : \frac{1}{14}

= \frac{1}{14}

\int_{0}^{\frac{π}{2}} (cos (x))^{7} d x

\int \frac{x ^{8}}{24} d x

8 - x^{2}, x^{2}

\int - \frac{3}{t} d t

\int \frac{x ^{2}}{x ^{2} + 64} d x

What is the limit as x approaches-15+of (sqrt(x+15)+15)/(x^2-15) ?
The limit as x approaches-15+of (sqrt(x+15)+15)/(x^2-15) is 1/14