What is the limit as x approaches 3-of (5x)/(x^2-9) ?

The limit as x approaches 3-of (5x)/(x^2-9) 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 3-of (5x)/(x^2-9)

x \to 3 - lim (\frac{5 x}{x ^{2} - 9})

- \infty

Solution steps

x \to 3 - lim (\frac{5 x}{x ^{2} - 9})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= 5 \cdot x \to 3 - lim (\frac{x}{x ^{2} - 9})

\frac{x}{x ^{2} - 9} = x \frac{1}{x ^{2} - 9}

= 5 \cdot x \to 3 - lim (x \frac{1}{x ^{2} - 9})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= 5 \cdot x \to 3 - lim (x) \cdot x \to 3 - lim (\frac{1}{x ^{2} - 9})

x \to 3 - lim (x) = 3

x \to 3 - lim (\frac{1}{x ^{2} - 9}) = - \infty

= 5 \cdot 3 (- \infty)

Apply Infinity Property:

c \cdot (- \infty) = - \infty

= - \infty

\int_{0}^{5} \frac{1}{25 - x ^{2}} d x

x \to - 1 - lim (\frac{9}{x ^{3} - 1})

\int \frac{3}{16 - x ^{2}} d x

f (x) = 4 t

x (x - 4)

What is the limit as x approaches 3-of (5x)/(x^2-9) ?
The limit as x approaches 3-of (5x)/(x^2-9) is -infinity