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

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

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If the sum of n terms of an A.P is cn (n-1)where c ne 0 then the sum o...

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

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

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  4. Consider an A.P. a(1), a(2), "……"a(n), "……." and the G.P. b(1),b(2)"…....

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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. Solution of differential equation (dy)/(dx)=(y^2-2x y-x^2)/(y^2+2x y-x...

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

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  8. prove that sum(k=0)^10 20^Ck=2^(19)

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

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

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

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  12. If the function f: R-{(2005)/(153)}vecR-{(2005)/(153)} , defined by f(...

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

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

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  17. If z is a complex number satisfying the equation Z^(6)+Z^(3)+1=0. If t...

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  18. The equation x^2+|x|+1=0

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

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

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