The value of limx-x3-2-x3-1-x3-1 is

The correct option is A 1 lim_x→∞x^3/2(√(x^3+1) √(x^3 1)) =lim_x→∞x^3/2(√(x^3+1) √(x^3 1))×(√(x^3+1)+√(x^3 1))(√(x^3+1)+√(x^3 1)) =lim_x→∞x^3/2(x ...

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The value of $lim x \to \infty x^{3 / 2} (\sqrt{x^{3} + 1} - \sqrt{x^{3} - 1})$ is

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none of these

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lim x \to \infty x^{3 / 2} (\sqrt{x^{3} + 1} - \sqrt{x^{3} - 1}) =

If L = lim x \to \infty \frac{1^{2}}{1 + x^{3}} + \frac{2^{2}}{2 + x^{3}} + . . . + \frac{x^{2}}{x + x^{3}}, then the value of 18 L is

{lim}_{x \to \infty} (\frac{1^{2}}{x^{3}} + \frac{2^{2}}{x^{3}} + \frac{3^{2}}{x^{3}} + . . . . . . . + \frac{x^{2}}{x^{3}}) = lim x \to \infty \frac{1^{2}}{x^{3}} + lim x \to \infty \frac{2^{2}}{x^{3}} + . . . . . + lim x \to \infty \frac{x^{2}}{x^{3}} = 0

{lim}_{x \to a} (f_{1} (x) + f_{2} (x) + . . . . . + f_{n} (x)) = {lim}_{x \to a} f_{1} (x) + {lim}_{x \to a} f_{2} (x) + . . . . + {lim}_{x \to a} f_{n} (x)

n \in N .

a

lim x \to a \frac{x^{3} - x^{3}}{x - a} = lim x \to 1 \frac{x^{4} - 1}{x - 1} .

i .

lim x \to 1 [\frac{x^{2} + 1}{x + 100}]

i i .

lim x \to 2 [\frac{x^{3} - 4 x^{2} + 4 x}{x^{2} - 4}]

i i i .

lim x \to 2 [\frac{x^{2} - 4}{x^{3} - 4 x^{2} + 4 x}]

i v .

lim x \to 2 [\frac{x^{3} - 2 x^{2}}{x^{2} - 5 x + 6}]

v .

lim x \to 1 [\frac{x - 2}{x^{2} - x} - \frac{1}{x^{3} - 3 x^{2} + 2 x}]

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