What is the limit as x approaches 3 of (4x^2-36)/(2x-6) ?

The limit as x approaches 3 of (4x^2-36)/(2x-6) is 12

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 (4x^2-36)/(2x-6)

x \to 3 lim (\frac{4 x ^{2} - 36}{2 x - 6})

12

Solution steps

x \to 3 lim (\frac{4 x ^{2} - 36}{2 x - 6})

Simplify

\frac{4 x ^{2} - 36}{2 x - 6} : 2 (x + 3)

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

Plug in the value

x = 3

= 2 (3 + 3)

Simplify

= 12

x \to 1 lim (3 x^{2} - 5 x + 4)

\int_{\frac{1}{2}}^{1} x^{- 3} - 11 d x

x^{^{''}} + 4 x^{^{'}} + 4 x = t^{- 2} e^{- 2 t}

\frac{d}{d x} (cos (x) - 5 tan (x))

\int x^{2} - 6 y d y

What is the limit as x approaches 3 of (4x^2-36)/(2x-6) ?
The limit as x approaches 3 of (4x^2-36)/(2x-6) is 12