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Find the sum of the series 1/(3^2+1)+1/(...

Find the sum of the series `1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo`

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Find the sum of the following series: 1/2+1/(3^2)+1/(2^3)+1/(3^4)+1/(2^5)+1/(3^6)+...+oo

Find the sum of n terms \ of the series: 1/(1. 2)+1/(2. 3)+1/(3. 4)+dot+1/(ndot(n+1))

Find the sum of n terms \ of the series: 1/(1. 2)+1/(2. 3)+1/(3. 4)+...............+1/(n.(n+1))

Find the sum to n terms of the series: 3/(1^2 .2^2)+5/(2^2 .3^2)+7/(3^2 .4^2)+......

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. e^xlogy=sin^(-1)x+sin^(-1)y

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  2. Consider an ellipse E ,(x^2)/(a^2)+(y^2)/(b^2)=1 , centered at point O...

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  3. Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo

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  4. In the expansion of (x+y+z)^(20), which of the followign is False?

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  5. If 1, z1,z2,.......,z6 are the 7th roots of unity then the value of (...

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  6. The quadratic equation x^(2)-9x+3=0 has roots alpha and beta.If x^(2)-...

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  7. Statement 1: The range of f(x)=sin^(2)x-sinx+1 is [3/4,oo). Statemen...

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  8. Which of the following are correct? a.(log)3 19.(log)(1//7)3.(log)4 1...

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  9. Find number of values of complex numbers omega satisfying the system o...

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  10. Make the following expressions free from modulus sign: (x in R) |2x-...

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  11. Simplify (sqrt5-sqrt2)(sqrt5+sqrt2)

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  12. If (1+x+x^2)^n=a0+a1x+a2x^2+....+a(2n)x^(2n), then a0+a2+a4+.....+a(2n...

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  13. Make the following expressions free from modulus sign : (x in R) (...

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  14. Simplify the following expressions : (sqrt5-sqrt2)(sqrt5+sqrt2)

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  15. The possible number of ordered triplets (m, n, p) where m,np in N is (...

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  16. Evaluate the following: 4!-3!

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  17. Let O be an interior points of triangleABC such that vec(OA)+vec(OB)+3...

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  18. Make the following expressions free from modulus sign: (x in R) |x^2...

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  19. If (cos^2x+1/(cos^2x)) (1+tan^2 2y)(3+sin3z)=4, then x is an integral ...

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  20. Given abclt0 and a+b+cgt0. If (|a|)/(a)+(|b|)/(b)+(|c|)/(c)=x, then fi...

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