From known series deduce the following: In each case give the general term and the radius of

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From known series deduce the following:

(a) = 1 x2 +x4  x + ... 1 1 + x (b) In (c) 1 + x 1- x 1 (1 + x) = x +   x + }{x + { x + .. = 1- 2x + 3x - 4x

(e) (f) 1 (1 2x)(2 + x) - 1 (1-x)(1+x)  1/2 + x + x + /1/x + ... = 1 + x + x + x + ...

In each case give the general term and the radius of convergence.

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