2 3 () is equal to 1+ (x – 1) 1) Show that the sum of the series 1+ 2 +.. +... (x – 1)2 + (x –- 1)³ + ..+ (x – 1)" + as n → o and for |x| < 1.

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Q: 42. A sequence is recursively defined by T(0) = 1 T(1) = 2 T(n) = 2T(n – 1) + T(n – 2) for n > 2 %3D

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Q: 30 (a) Find the sum of 2k+1. k=2 (b) Show that if Re z < 0, then Je| <1 and find the sum of ) ek*.…

A: i have given the formulas that i have used in the step where i have used them

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