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Q.If S=1+3x+6x2+10x3+⋯∞S = 1 + 3x + 6x^2 + 10x^3 + \cdots \infty (∣x∣<1|x| < 1), then S(1−x)S(1-x) equals

a
1(1−x)2\dfrac{1}{(1-x)^2}
b
1+x(1−x)2\dfrac{1+x}{(1-x)^2}
c
1(1−x)3\dfrac{1}{(1-x)^3}
d
1+x(1−x)3\dfrac{1+x}{(1-x)^3}

Correct Answer: Option B

The correct solution involves applying the fundamental concept to derive the final value step by step...

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