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If Sn=1/(2n)+1/(sqrt(4n^2-1))+1/(sqrt(4n...

If `S_n=1/(2n)+1/(sqrt(4n^2-1))+1/(sqrt(4n^2-4))++1/(sqrt(3n^2+2n-1)),n in N ,` then `("lim")_(nvecoo)S_n` is equal to `pi/2` (b) 2 (c) 1 (d) `pi/6`

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RESONANCE DPP-JEE MAINS-All Questions
  1. The area of the closed figure bounded by x=-1,x=2,a n d y={-x^2+2,xlt...

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  2. "S o l v e"int0^(pi/2)(cosx)/((1+sinx)(2+sinx))dx

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  3. If Sn=1/(2n)+1/(sqrt(4n^2-1))+1/(sqrt(4n^2-4))++1/(sqrt(3n^2+2n-1)),n ...

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  4. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x-1...

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  5. The reflection of the point vec a in the plane vec rdot vec n=q ...

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  6. The equation of tangent to the curve y=int(x^2)^(x^3)(dt)/sqrt(1+t^2) ...

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  7. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

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  8. If f1(x)=x ,f2(x)=1-x ,f3(x)=1/x ,f4(x)=1/(1-x),f5(x)=x/(x-x),f5(x)=x/...

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  9. Let f(x)a n dg(x) be two continuous functions defined from RvecR , suc...

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  10. If int((x-1)dx)/(x^2sqrt(2x^2-2x+1))=(sqrt(f(x)))/(g(x))+C ,t h e n f...

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  11. If vec a , vec ba n d vec c are unit vectors, then | vec a- vec b|^2+...

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  12. Let lambda=int0^1(dx)/(1+x^3),p=(lim)(n->oo)[(prod(r=1)^n(n^3+r^3)...

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  13. For f(x)=sin^2x ,x in (0,pi) point of inflection is: pi/6 (b) (2pi)/4...

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  14. If z1& z1 represent adjacent vertices of a regular polygon on n sides...

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  15. If z=((1+isqrt3)^2)/(4i(1-isqrt3)) is a complex number then a. arg(...

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  16. If vec a+2"" vec b+3"" vec c="" vec0 and |"" vec a|=6,|"" vec b|=3a n...

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  17. Function f(x)=sin(lnx)-"cos"(lnx) is (a)M.I. in [e^(2npipi/4),e^(2np...

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  18. tan(sec^(-1) (1/x))=sin(cos^(-1) (1/sqrt(5)))

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  19. If f(x)={(sina x^2)/(x^2); x!=0 3/4+1/(4a); x=0, is continuous everyw...

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  20. The value of sin(pi/3-sin^(-1)(4/5)) is (a) (3sqrt(3)-4)/(10) (b) (3...

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