What is the limit as x approaches-5 of (3x^2+15x)/(2x^2-50) ?

The limit as x approaches-5 of (3x^2+15x)/(2x^2-50) is 3/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches-5 of (3x^2+15x)/(2x^2-50)

x \to - 5 lim (\frac{3 x ^{2} + 15 x}{2 x ^{2} - 50})

\frac{3}{4}

Decimal

0.75

Solution steps

x \to - 5 lim (\frac{3 x ^{2} + 15 x}{2 x ^{2} - 50})

Simplify

\frac{3 x ^{2} + 15 x}{2 x ^{2} - 50} : \frac{3 x}{2 ( x - 5 )}

= x \to - 5 lim (\frac{3 x}{2 ( x - 5 )})

Plug in the value

x = - 5

= \frac{3 ( - 5 )}{2 ( - 5 - 5 )}

Simplify

\frac{3 ( - 5 )}{2 ( - 5 - 5 )} : \frac{3}{4}

= \frac{3}{4}

What is the limit as x approaches-5 of (3x^2+15x)/(2x^2-50) ?
The limit as x approaches-5 of (3x^2+15x)/(2x^2-50) is 3/4