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The value of lim(ntooo)sum(r=1)^(n)cot^(...

The value of `lim_(ntooo)sum_(r=1)^(n)cot^(-1)((r^(3)-r+1/r)/2)` is

A

A. `pi`

B

B. `(pi)/4`

C

C. `(pi)/2`

D

D. `pi`

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The correct Answer is:
C
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ARIHANT MATHS ENGLISH-LIMITS-Exercise (Single Option Correct Type Questions)
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  8. If f(x+ y) = f(x) + f(y) for x, y in R and f(1) = 1, then find the val...

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  9. Evaluate underset(ntooo)limn^(-n^(2))[(n+2^(0))(n+2^(-1))(n+2^(-2))......

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  10. If f(x)={("sin"[x])/([x]),for[x]!=0, 0,for[x]=0,w h e r e[x] denotes ...

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  12. Let r^(th) term t (r) of a series if given by t (c ) = (r )/(1+r^(2) +...

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  13. The value of lim(ntooo)sum(r=1)^(n)cot^(-1)((r^(3)-r+1/r)/2) is

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  14. Let xtan alpha + ysin alpha= alpha and xalpha cosec alpha + ycosalpha...

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  15. The polynomial of least degree such that lim(xto0)(1+(x^(2)+f(x))/(x^(...

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  16. If n is a non zero integer and [*] denotes the greatest integer functi...

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  18. The value of lim(xto0^(+))(-1+sqrt((tanx-sinx)+sqrt((tanx-sinx)+sqrt...

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  19. Evaluate: lim(thetato0)(cos^2(1-cos^2(1-cos^2.....(1-cos^2(theta)))))/...

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  20. The value of lim(ntooo)a(n) when a(n+1)=sqrt(2+a(n)), n=1,2,3,….. is

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