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

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

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

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

\frac{1}{2}

Decimal

0.5

Solution steps

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

Plug in the value

x = 1

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

Simplify

= \frac{1}{2}

\frac{\partial}{\partial x} (e^{- 2 x^{2} - 5 y^{2}})

\int x y e^{x} d x

\int (ln (x + 1 + x^{2}))^{'} d x

\frac{\partial}{\partial u} (u^{\frac{1}{3}} \cdot v^{\frac{2}{3}})

\int \frac{1 - x}{x ^{2} + x + 1} d x

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