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

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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 Notation

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}

\int \frac{( x ^{3} - x )}{x} d x

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\frac{d}{d x} (\frac{- 6}{x})

\frac{d ^{2}}{d x ^{2}} (\frac{3 x + 5}{x ^{2} - x})

\int ln (3 x + 9) d x

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