What is the limit as x approaches 6 of x/(x^2+1) ?

The limit as x approaches 6 of x/(x^2+1) is 6/37

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limit as x approaches 6 of x/(x^2+1)

x \to 6 lim (\frac{x}{x ^{2} + 1})

\frac{6}{37}

Decimal Notation

0.16216 \dots

Solution steps

x \to 6 lim (\frac{x}{x ^{2} + 1})

Plug in the value

x = 6

= \frac{6}{6 ^{2} + 1}

Simplify

= \frac{6}{37}

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

f (x) = \frac{x}{1 - ln ( x - 1 )}

\int y 9 - y d y

x \to 3 - lim (\frac{5}{x ^{2} - 9})

x \to 3 lim (e^{\frac{7}{x - 3}})

What is the limit as x approaches 6 of x/(x^2+1) ?
The limit as x approaches 6 of x/(x^2+1) is 6/37