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

The limit as x approaches-1 of (x+3x^5)^4 is 256

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

x \to - 1 lim ((x + 3 x^{5})^{4})

256

Solution steps

x \to - 1 lim ((x + 3 x^{5})^{4})

Plug in the value

x = - 1

= (- 1 + 3 (- 1)^{5})^{4}

Simplify

(- 1 + 3 (- 1)^{5})^{4} : 256

= 256

x \to - \infty lim (- 3 \cdot (x))

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

x \to 0 lim (3 x^{2} + x - 17)

x \to 4.8 lim (5 x - 2)

x \to \infty lim (\frac{6 x}{2})

What is the limit as x approaches-1 of (x+3x^5)^4 ?
The limit as x approaches-1 of (x+3x^5)^4 is 256