Get the answer to "Determine the limit of each function analytically. Show..."

hexacordoK

Answered question

2021-10-19

Determine the limit of each function analytically. Show neat and complete solution.

lim_{x \to - 1} {(x^{4} - 2 x^{3})}^{4}

tabuordg

Skilled2021-10-20Added 99 answers

We have to find limit of the following function -

lim_{x \to - 1} {(x^{4} - 2 x^{3})}^{4}

We have,

lim_{x \to - 1} {(x^{4} - 2 x^{3})}^{4}

We can directly apply the limits in here

∴ lim_{x \to - 1} {(x^{4} - 2 x^{3})}^{4} = {({(- 1)}^{4} - 2 {(- 1)}^{3})}^{4}

\Rightarrow lim_{x \to - 1} {(x^{4} - 2 x^{3})}^{4} = {(1 - 2 (- 1))}^{4}

\Rightarrow lim_{x \to - 1} {(x^{4} - 2 x^{3})}^{4} = {(1 + 2)}^{4}

\Rightarrow lim_{x \to - 1} {(x^{4} - 2 x^{3})}^{4} = 3^{4} = 81

Hence we get,

lim_{x \to - 1} {(x^{4} - 2 x^{3})}^{4} = 81

Jeffrey Jordon

Expert2022-07-05Added 2605 answers

Answer is given below (on video)

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