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

The limit as x approaches-1/5 of x^3+5x is -126/125

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limit as x approaches-1/5 of x^3+5x

x \to - \frac{1}{5} lim (x^{3} + 5 x)

- \frac{126}{125}

Solution steps

x \to - \frac{1}{5} lim (x^{3} + 5 x)

Plug in the value

x = - \frac{1}{5}

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

Simplify

(- \frac{1}{5})^{3} + 5 (- \frac{1}{5}) : - \frac{126}{125}

= - \frac{126}{125}

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

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

x \to - 1 lim (3 x + 5)

x \to - 2 lim (x^{2} + 4 x + 5)

θ \to \frac{π}{2} lim (tan (θ))

What is the limit as x approaches-1/5 of x^3+5x ?
The limit as x approaches-1/5 of x^3+5x is -126/125