Find the indicated series by the given operation.Show that by differentiating term by term the expansion of  the result is the expansion for 

A. (1 + 2x - 3x2 + 4x3 - . . .) = -2(1 + 3x - 6x2 + . . . )
B. (2x + 3x2 - 4x3 + . . .) = -2(1 - 3x + 6x2 - . . .)
C. (1 - 4x + 6x2 - 8x3 + . . .) = -2( 2 - 6x + 12x2 - . . .)
D. (1 - 2x + 3x2 - 4x3 + . . .) = -2(1 - 3x + 6x2 - . . .)


Answer: D

Mathematics

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