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If a=min (x^2 +4x+5, x in R) and b= lim(...

If `a=min (x^2 +4x+5, x in R)` and `b= lim_(theta->0)(1-cos2theta)/theta^2` then the value of `sum_(r=0)^n a^rb^(n-r)` is

A

`(2^(n+1)-1)/(4.2^(n))`

B

`2^(n+1)-1`

C

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

D

`1`

Text Solution

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The correct Answer is:
B
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