What is the limit as x approaches 9 of (x^2-81)/(7x-63) ?

The limit as x approaches 9 of (x^2-81)/(7x-63) is 18/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 9 of (x^2-81)/(7x-63)

x \to 9 lim (\frac{x ^{2} - 81}{7 x - 63})

\frac{18}{7}

Decimal Notation

2.57142 \dots

Solution steps

x \to 9 lim (\frac{x ^{2} - 81}{7 x - 63})

Simplify

\frac{x ^{2} - 81}{7 x - 63} : \frac{1}{7} (x + 9)

= x \to 9 lim (\frac{1}{7} (x + 9))

Plug in the value

x = 9

= \frac{1}{7} (9 + 9)

Simplify

\frac{1}{7} (9 + 9) : \frac{18}{7}

= \frac{18}{7}

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

x \to 3 lim (2 x - 6)

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

x \to 7 - lim (\frac{- 1}{x - 7})

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

What is the limit as x approaches 9 of (x^2-81)/(7x-63) ?
The limit as x approaches 9 of (x^2-81)/(7x-63) is 18/7