2. (a) Prove 1 %3D n=0 > na" (1 – x)² n=0 Hint: for the first one, multiply the sum by r and see how it compares to the original. Then take the derivative of that and see how it compares to the second sum. (b) Use this to prove E nhwge -n hun E hwne "EB -n- n=0

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2. (a) Prove
1
%3D
n=0
> na"
(1 – x)²
n=0
Hint: for the first one, multiply the sum by r and see how it compares to the original.
Then take the derivative of that and see how it compares to the second sum.
(b) Use this to prove
E nhwge
-n
hun
E hwne "EB
-n-
n=0
Transcribed Image Text:2. (a) Prove 1 %3D n=0 > na" (1 – x)² n=0 Hint: for the first one, multiply the sum by r and see how it compares to the original. Then take the derivative of that and see how it compares to the second sum. (b) Use this to prove E nhwge -n hun E hwne "EB -n- n=0
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