What is the limit as x approaches 1 of (2x)/(x^3+1) ?

The limit as x approaches 1 of (2x)/(x^3+1) is 1

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limit as x approaches 1 of (2x)/(x^3+1)

x \to 1 lim (\frac{2 x}{x ^{3} + 1})

1

Solution steps

x \to 1 lim (\frac{2 x}{x ^{3} + 1})

Plug in the value

x = 1

= \frac{2 \cdot 1}{1 ^{3} + 1}

Simplify

= 1

\frac{d}{d x} ((\frac{- 2 x}{1 + x ^{2}})^{2})

2 x y y^{^{'}} = 1 + y^{2}

x \to 0 lim (- 5 (x - 3) ln (x - 3))

y^{^{'}} = 2 (y^{2} + 1)

\frac{d}{d x} (x^{2} - x y) = 7

What is the limit as x approaches 1 of (2x)/(x^3+1) ?
The limit as x approaches 1 of (2x)/(x^3+1) is 1