Coefficient of x2009 in 1-x-x2-x3-x410011-x1002 isA- 0 B- 4 -1001 C501C- -2009D- none of these

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Expansions of the Form (1+x)^(-n) and (1-x)^(-n)

Coefficient o...

Question

Coefficient of $x^{2009}$ in $(1 + x + x^{2} + x^{3} + x^{4})^{1001} (1 - x)^{1002}$ is

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-2009

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none of these

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x^{2001}

(1 + x + x^{2} + x^{3} + x^{4})^{1001} (1 - x)^{1002}

f (x) = \frac{x}{1 - x}

^{'} a^{'}

x_{0} = a, x_{1} = f (x_{0}), x_{2} = f (x_{1}), x_{3} = f (x_{2}) . . .

x_{2009} = 1

^{'} a^{'}

{(\frac{x}{2} - \frac{3}{x^{2}})}^{10}

\frac{405}{256}

\frac{504}{259}

\frac{450}{263}

{[\sqrt{\frac{x}{3}} + \sqrt{\frac{3}{2 x^{2}}}]}^{10}

Coefficient of $x^{100} i n 1 + (1 + x) + (1 + x)^{2} + (1 + x)^{3} \dots (1 + x)^{n}$ is $^{201} C_{101}, (n > 100)$ then n =

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