Evaluate $2^{3} \times {(9)}^{0} \times 3^{3}$

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Solution

$2^{3} \times 9^{0} \times 3^{2} = 6^{3} = 216$

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5^{3} - 2^{3} - 3^{3}

Evaluate:- $(1^{3} + 2^{3} + 3^{3} + 4^{3})^{\frac{- 3}{2}}$

Evaluate $(1^{3} + 2^{3} + 3^{3} + 4^{3})^{\frac{- 3}{2}} .$

lim n \to \infty \frac{(1^{2} + 2^{2} + 3^{2} + . . . + n^{2})}{[1 + 2 + . . . + n] (1^{3} + 2^{3} + 3^{3} + . . . + n^{3})}

P_{n} = \frac{2^{3} - 1}{2^{3} + 1} . \frac{3^{3} - 1}{3^{3} + 1} . \frac{4^{3} - 1}{4^{3} + 1} . \frac{n^{3} - 1}{n^{3} + 1} .

lim n \to \infty P_{n}

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