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

The limit as x approaches 5 of x/(x^2+1) is 5/26

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

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

\frac{5}{26}

Decimal

0.19230 \dots

Solution steps

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

Plug in the value

x = 5

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

Simplify

= \frac{5}{26}

What is the limit as x approaches 5 of x/(x^2+1) ?
The limit as x approaches 5 of x/(x^2+1) is 5/26