Home
Class 12
MATHS
Find the sum (1)/(1+sqrt(2))+(1)/(sqrt(2...

Find the sum `(1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+..........` upto 99 terms.

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

(sqrt(3)+1+sqrt(3)+1)/(2sqrt(2))

Prove that : (1)/(sqrt(2)+1)+ (1)/(sqrt(3)+sqrt(2))+ (1)/(2+sqrt(3))=1

(1)/(2sqrt(5)-sqrt(3))-(2sqrt(5)+sqrt(3))/(2sqrt(5)+sqrt(3)) =

1/(sqrt3 + sqrt2) + 1/(sqrt3 -sqrt2)=

The sum of the series (1)/(sqrt(1)+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))+ . . . . .+(1)/(sqrt(n^(2)-1)+sqrt(n^(2))) equals

Simplify: (1)/(sqrt(3+2sqrt(2)))+(1)/(sqrt(3+2sqrt(2)))

Find the sum of G.P. : sqrt(3)+(1)/(sqrt(3))+(1)/(3sqrt(3))+ . . . . . . . . to n terms.

Simplify : (1)/(sqrt(3)+sqrt(2))-(1)/(sqrt(3)-sqrt(2))+(2)/(sqrt(2)+1)

Find the value of: 1/(1+sqrt2)+1/(sqrt2+sqrt3)+1/(sqrt3+sqrt4)+...1/(sqrt99+sqrt100)

For all n in N, 1 + 1/(sqrt(2))+1/(sqrt(3))+1/(sqrt(4))++1/(sqrt(n))

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. A quadratic equation f(x)=a x^2+b x+c=0(a != 0) has positive distinct ...

    Text Solution

    |

  2. Match the following Column I Column II (log)4(x+1)+(log)4(x+...

    Text Solution

    |

  3. Find the sum (1)/(1+sqrt(2))+(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4...

    Text Solution

    |

  4. Solve 4log(x//2)(sqrt(x))+ 2 log(4x)(x^(2)) = 3log(2x)(x^(3)).

    Text Solution

    |

  5. If f(x)=max{sinx ,sin^(-1)(cosx)}, then f is differentiable everywhere...

    Text Solution

    |

  6. Find the lengths of the major and minor axis and the eccentricity of...

    Text Solution

    |

  7. Solve the equation for x : log4+(1+1/(2x))log3=log(3^(1/x)+27)

    Text Solution

    |

  8. If xx=sqrt(3)+sqrt(2), then find xx+1/x,x^(2)+(1)/(x^(2)),x^(3)+(1)/(x...

    Text Solution

    |

  9. The solution set of inequation |x^(2)-2x|+|x-4|gt|x^(2)-3x+4| is a sub...

    Text Solution

    |

  10. Difference in values of the radius of a circle whose center is at the...

    Text Solution

    |

  11. The value 'x' satisfying the equation, 4^(log(9)3)+9^(log(2)4)=10^(log...

    Text Solution

    |

  12. Identify the correct statement If x in Q=>x in Q If x^3 in Qa n d...

    Text Solution

    |

  13. Consider a matrix [3 4 0 2 1 0 3 1K] and the following statements: sta...

    Text Solution

    |

  14. Twenty coupons are numbered 1,2,3......, 20 respectively. Four coup...

    Text Solution

    |

  15. If (log)3x=a and (log)7x=b , then which of the following is equal to (...

    Text Solution

    |

  16. Which of the following statements are true and which false ? {:((i),...

    Text Solution

    |

  17. Let A=[1 4 2 3]&A^4-4A^3-5A^2+2I=lambdaI (' I ' is the unit matrix o...

    Text Solution

    |

  18. "I f"f(x)={([tanx])/([x]),[x]!=0 0,[x]=0,"w h e r e"[dot]=G I F ,"t h ...

    Text Solution

    |

  19. If sintheta+sinvarphi=a and costhetavarphi+cosvarphi=b , then cos((th...

    Text Solution

    |

  20. If 5x^(2)-2kx+1 lt 0 has exactly one integral solution . Then , find...

    Text Solution

    |