What is the limit as x approaches-1 of x/(x^3+4x) ?

The limit as x approaches-1 of x/(x^3+4x) is 1/5

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limit as x approaches-1 of x/(x^3+4x)

x \to - 1 lim (\frac{x}{x ^{3} + 4 x})

\frac{1}{5}

Decimal

0.2

Solution steps

x \to - 1 lim (\frac{x}{x ^{3} + 4 x})

Plug in the value

x = - 1

= \frac{- 1}{( - 1 ) ^{3} + 4 ( - 1 )}

Simplify

\frac{- 1}{( - 1 ) ^{3} + 4 ( - 1 )} : \frac{1}{5}

= \frac{1}{5}

x \to 0 lim (x ln (6 x))

x \to 0 + lim (sin ((\frac{1}{x})^{x}))

x \to 9 lim (x^{2} - 81)

x \to 9 - lim (ln (x^{2} (10 - x)))

x \to 3 lim ([x - 3])

What is the limit as x approaches-1 of x/(x^3+4x) ?
The limit as x approaches-1 of x/(x^3+4x) is 1/5