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

The limit as x approaches 5-of (3x)/(x^2-5x) is -infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

- \infty

Solution steps

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

Simplify

\frac{3 x}{x ^{2} - 5 x} : \frac{3}{x - 5}

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

For

x

approaching

5

from the left

, x < 5 \Rightarrow x - 5 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

x \to 0 lim (x^{4} sin (\frac{p}{x}))

n \to \infty lim (1 + nb)

x \to 1 lim (x^{4} - x^{2} + x - 2)

x \to 0 lim (\frac{( ln ( x + 1 ) )}{x})

x \to 1 lim (\frac{I n x}{x ^{2} - 1})

What is the limit as x approaches 5-of (3x)/(x^2-5x) ?
The limit as x approaches 5-of (3x)/(x^2-5x) is -infinity