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Let a=min {x^2+2x+3, x in R} and b=...

Let `a=min {x^2+2x+3, x in R}` and `b=lim_(theta->0)(1-costheta)/(theta^2)` then the value of `sum_(r=0)^n a^r*b^(n-r)` is :

A

`(2^(n+1)-1)/(3.2^(n))`

B

`(2^(n+1)+1)/(3.2^(n))`

C

`(4^(n+1)-1)/(3.2^(n))`

D

`(1)/(2)(2^(n-1))`

Text Solution

Verified by Experts

The correct Answer is:
C
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