Let a=min{x^(2)+2x+3,x epsilonR} and b=l...

Let `a=min{x^(2)+2x+3,x epsilonR}` and `b=lim_(x theta to 0)(1-cos theta)/(theta^(2)0`. The value fo `sum_(r=0)^(n)a^(r).b^(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`

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The correct Answer is:

B

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