What is the limit as x approaches 7-of (x^2-4x-21)/(|x-7|) ?

The limit as x approaches 7-of (x^2-4x-21)/(|x-7|) is -10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 7-of (x^2-4x-21)/(|x-7|)

x \to 7 - lim (\frac{x ^{2} - 4 x - 21}{∣ x - 7 ∣})

- 10

Solution steps

x \to 7 - lim (\frac{x ^{2} - 4 x - 21}{∣ x - 7 ∣})

x - 7

is negative when

x \to 7 -

. Therefore

∣ x - 7 ∣ = - x + 7

= x \to 7 - lim (\frac{x ^{2} - 4 x - 21}{- x + 7})

Simplify

\frac{x ^{2} - 4 x - 21}{- x + 7} : - x - 3

= x \to 7 - lim (- x - 3)

Plug in the value

x = 7

= - 7 - 3

Simplify

= - 10

x \to 0 lim (\frac{x ^{3} - x}{x - 1})

x \to 2 lim (\frac{2 x - 4}{x + 3})

x \to 0 lim ([\frac{x}{a}] \cdot \frac{b}{x})

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

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

What is the limit as x approaches 7-of (x^2-4x-21)/(|x-7|) ?
The limit as x approaches 7-of (x^2-4x-21)/(|x-7|) is -10