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Question

Question: The\(\left( \frac{\lbrack x\rbrack}{\{ x\}} \right)\) equals –...

The([x]{x})\left( \frac{\lbrack x\rbrack}{\{ x\}} \right) equals –

A

(x21+x2)\left( \frac{x^{2}}{\sqrt{1 + x^{2}}} \right)

B

4x\sqrt{4 - x}

C

4x\sqrt{4 - x}

D

4x\sqrt{4 - x}

Answer

4x\sqrt{4 - x}

Explanation

Solution

=

=

=

= limx{16x(x+1)(2x+1)612x(x+1)+9x1x3\lim _ { x \rightarrow \infty } \left\{ \frac { \frac { 16 x ( x + 1 ) ( 2 x + 1 ) } { 6 } - 12 x ( x + 1 ) + 9 x } { 1 - x ^ { 3 } } \right.

= –326\frac { 32 } { 6 }+ 2 = 103- \frac { 10 } { 3 }.