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

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

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

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

\frac{2}{5}

Decimal Notation

0.4

Solution steps

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

Plug in the value

x = 2

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

Simplify

= \frac{2}{5}

y^{^{''}} + 4 y^{^{'}} - 2 y = 2 x^{2} - 3 x + 6

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

x \to 2 lim (3 x + 2)

y = 6 x - x^{2}

\frac{d}{d x} ((2 e^{x} + x^{2}) ln (x))

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