Evaluate x - 3lim-x3 using the properties of limits-

The correct option is D 27^1/4 lim _ x→ 3 √( x ^ 3 ) #160; #160; = (3^3) ^ 1 / 4 = (27) ^ 1 / 4 ...

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Algebra of Limits

Evaluate x ...

Question

Evaluate $lim x \to 3 \sqrt[4]{x^{3}}$ using the properties of limits.

28^{1 / 4}

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25^{1 / 4}

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27^{1 / 4}

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26^{1 / 4}

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Solution

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f (x) = {\begin{matrix} \frac{| x - 4 |}{x - 4}, & x \neq 4 0, & x = 4 \end{matrix}

x = 4

{⎡ ⎢ ⎣ 7 (64^{\frac{1}{3}} + 27^{\frac{1}{3}})^{3} ⎤ ⎥ ⎦}^{\frac{1}{4}}

{[5 {(8^{\frac{1}{3}} + 27^{\frac{1}{3}})}^{3}]}^{\frac{1}{4}}

f (x) = ⎧ ⎨ ⎩ \begin{matrix} \frac{| x - 4 |}{x - 4}, x \neq 4 0, x = 4 \end{matrix}

By using properties of definite integrals, evaluate the integrals
$\int_{0}^{4} | x - 1 | d x .$

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