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Let a=min(x^2+2x+3:x inR) and b=lim(thet...

Let `a=min(x^2+2x+3:x inR)` and `b=lim_(thetato0)(1-cos theta)/(theta^2)`. Then `sum_(r=0)^(n)a^rb^(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

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The correct Answer is:
C
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CHHAYA PUBLICATION-QUESTIONS PAPER -2019-WBJEE 2019
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  3. Let f:[1,3] toR be a continuous function that is differentiable in (1,...

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  4. Let a=min(x^2+2x+3:x inR) and b=lim(thetato0)(1-cos theta)/(theta^2). ...

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  8. Find value of sin^-1(cos((33pi)/5))

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  11. Let S,T,U be three non-void sets and f:StoT,g:TtoU be so that g@f:StoU...

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