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lim(n->oo) sum(n=1)^ntan^(- 1)((2r+1)/(r...

`lim_(n->oo) sum_(n=1)^ntan^(- 1)((2r+1)/(r^4+2r^3+r^2+1))` is equal to

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RESONANCE DPP-JEE MAINS-All Questions
  1. If the sum of n terms of an A.P. is c n(n-1) where c!=0, then the sum ...

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  2. Suba Rao started work in 1995 at an annual salary of Rs. 5000 and rece...

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  3. lim(n->oo) sum(n=1)^ntan^(- 1)((2r+1)/(r^4+2r^3+r^2+1)) is equal to

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  4. Consider an A.P. a1, a2, an , and the G.P. b1,b2, ,bn , such that a...

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  5. If f(x)=sin{[x+5]+{x-{x-{x}}}" for "x in (0,pi/4) is invertible, where...

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  6. If (cosA)/(cosB)=p,(sinA)/(sinB)=q,then show that (p^(2)(1-q^(2)))/(p^...

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  7. sum(k=0)^10 Ck=2^(19)+1/2^(20)C10 Prove that10= 219 +-120C10k=0

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  8. The inequality [2-x]+2[x-1]geq0 is satisfied by (where[.] denotes grea...

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  9. If Sn, denotes the sum of n terms of an AP, then the value of (S(2n)-...

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  10. If a x^2+b x=6=0 does not have distinct real roots, then find the leas...

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  11. Range of the function f (x) =cot ^(-1){-x}+ sin ^(-1){x} + cos ^(-1) {...

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  12. (i) The value of x + y + z is 15. If a, x, y, z, b are in AP while the...

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  13. (lim)(x->oo)(sinx)/x equals a. 1 b . 0 c. oo d. does not exist

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  14. Is 184 a term of the sequence 3,7,11, ... ?

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  15. If z is a complex number satisfying the equation z^6 +z^3 + 1 = 0. If ...

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  16. Consider the equation sin^(-1)(x^(2)-6x+(17)/(2))+cos^(-1)k=(pi)/(2),...

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  17. Let I=int0^(10pi) (cos6xcos7xcos8xcos9x)/(1+e^(2sin^3 4x))dx Now answ...

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  18. The values of parameter a for which the point of minimum of the functi...

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  19. If the value of the definite integral int0^1(sin^(-1)sqrt(x))/(x^2-x+1...

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  20. The value of sum(r=1)^oocot^(- 1)((r^2)/2+15/8) is equal to

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