What is the limit as x approaches 4+of (x+5)/(x-4) ?

The limit as x approaches 4+of (x+5)/(x-4) 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 4+of (x+5)/(x-4)

x \to 4 + lim (\frac{x + 5}{x - 4})

\infty

Solution steps

x \to 4 + lim (\frac{x + 5}{x - 4})

\frac{x + 5}{x - 4} = (x + 5) \frac{1}{x - 4}

= x \to 4 + lim ((x + 5) \frac{1}{x - 4})

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 4 + lim (x + 5) \cdot x \to 4 + lim (\frac{1}{x - 4})

x \to 4 + lim (x + 5) = 9

x \to 4 + lim (\frac{1}{x - 4}) = \infty

= 9 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

9 y^{^{''}} + y = 0

y^{^{''}} + 4 y = t^{2} + 3 e^{t}

\int_{0}^{π} cos^{6} (x) d x

y^{^{'}} = 0.285 (1 - y)

100 y^{^{''}} = 0

What is the limit as x approaches 4+of (x+5)/(x-4) ?
The limit as x approaches 4+of (x+5)/(x-4) is infinity