What is the limit as x approaches 1 of (x^2+1)/(x+5) ?

The limit as x approaches 1 of (x^2+1)/(x+5) is 1/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

limit as x approaches 1 of (x^2+1)/(x+5)

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

\frac{1}{3}

Decimal

0.33333 \dots

Solution steps

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

Plug in the value

x = 1

= \frac{1 ^{2} + 1}{1 + 5}

Simplify

\frac{1 ^{2} + 1}{1 + 5} : \frac{1}{3}

= \frac{1}{3}

What is the limit as x approaches 1 of (x^2+1)/(x+5) ?
The limit as x approaches 1 of (x^2+1)/(x+5) is 1/3