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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 :

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The correct Answer is:
`=(4^(n+1)-1)/(2^(n)xx3)`
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