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

The limit as x approaches-5-of (x+2)/(x+5) 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 (x+2)/(x+5)

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

\infty

Solution steps

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

\frac{x + 2}{x + 5} = (x + 2) \frac{1}{x + 5}

= x \to - 5 - lim ((x + 2) \frac{1}{x + 5})

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

= x \to - 5 - lim (x + 2) \cdot x \to - 5 - lim (\frac{1}{x + 5})

x \to - 5 - lim (x + 2) = - 3

x \to - 5 - lim (\frac{1}{x + 5}) = - \infty

= (- 3) (- \infty)

Apply Infinity Property:

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

= \infty

\frac{3}{s + 4}

\int (5 x^{3} - 18)^{7} 15 x^{2} d x

\int \frac{4 e ^{x}}{e ^{2 x} + 10 e ^{x} + 25} d x

\frac{d y}{d x} + x^{2} y = 2 x^{2}

y^{^{'}} = (y + 2 t)^{2}

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