Home
Class 12
MATHS
Value of 1+5/(4(1^2+2^2))+7/(5(1^2+2^2+3...

Value of `1+5/(4(1^2+2^2))+7/(5(1^2+2^2+3^2))+9/(6(1^2+2^2+3^2+4^2))+oo` is: `3` b. `1/6` c. `6` d. `3/2`

Text Solution

AI Generated Solution

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

(1+1/3.(1)/(2^(2))+1/5.(1)/(2^(4))+1/7(1)/2^(6)+…..oo) =

The value of (1+2(log)_3 2)/((1+(log)_3 2)^2)+((log)_6 2)^2 is 2 (b) 3 (c) 4 (d) 1

The value of (1+2(log_3 2)/((1+(log)_3 2)^2)+((log)_6 2)^2 is 2 (b) 3 (c) 4 (d) 1

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

Value of (1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))........oo is equal to a. 3 b. 6/5 c. 3/2 d. none of these

Evaluate: ("lim")_(n to oo)((1^2+2^2+3^3++n^2)(1^3+2^3+3^3++n^3))/(1^6+2^6+3^6++n^6)

(1^(2)-2^(2)+3^(2)) + (4^(2)-5^(2)+6^(2))+(7^(2)-8^(2)+9^(2))….30 terms

The sum of the series 1+ 2/3+ (1)/(3 ^(2)) + (2 )/(3 ^(3)) + (1)/(3 ^(4)) + (2)/(3 ^(5)) + (1)/(3 ^(6))+ (2)/(3 ^(7))+ …… upto infinite terms is equal to :

If 1/1^2+1/2^2+1/3^2+...oo=pi^2/6 then value of 1-1/2^2+1/3^2-1/4^2+...oo=

1+(1)/(3.2^(2))+(1)/(5.2^(4))+(1)/(7.2^(6))+....=

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. One diagonal of a square is the portion of the line sqrt(3)x+y=2sqrt(3...

    Text Solution

    |

  2. Three vertices of a parallelogram are (1, 1), (2, 4)  and (3,5), then ...

    Text Solution

    |

  3. Value of 1+5/(4(1^2+2^2))+7/(5(1^2+2^2+3^2))+9/(6(1^2+2^2+3^2+4^2))+oo...

    Text Solution

    |

  4. Leg f(x)=|x|,g(x)=sin xa n dh(x)=g(x)f(g(x)) then h(x) is continuous b...

    Text Solution

    |

  5. In a triangle A B C , right angled at A , on the leg A C as diameter, ...

    Text Solution

    |

  6. Let a, b, c be any real numbers. Suppose that there are real number...

    Text Solution

    |

  7. The number of points where f(x)=(x-3)|x^2-7x+12|+"cos"|x-3| is not dif...

    Text Solution

    |

  8. underset(x to oo)lim(overset(2x)underset(0)intte^(t^(2))dt)/(e^(4x^(2)...

    Text Solution

    |

  9. a, b, c are sides of a triangle and a, b, c are in GP If log a- log ...

    Text Solution

    |

  10. lim(x->0^+)((sinx)/(x-sinx))^(sinx) is (a)0 (b) 1 (c) ln e (d) e...

    Text Solution

    |

  11. The equation 2log(x+3)="log"(alphax) has only one solution if (a)alph...

    Text Solution

    |

  12. If x^2+2a x+a<0AAx in [1,2], the find the values of a.

    Text Solution

    |

  13. If f(x)={1/(1+e^((1,)/x)),x!=0 0,x=0,t h e nf(x) is continuous as well...

    Text Solution

    |

  14. Find the value of x satisfying the equation 2cos^(-1)(1-x)-3cos^(-1)x=...

    Text Solution

    |

  15. A box contains 1 black and 1 white ball. A ball is drawn randomly and ...

    Text Solution

    |

  16. On a normal standard die one of the 21 dots from any one of the six fa...

    Text Solution

    |

  17. If Sn=sum(r=1)^n r !(n >6),"t h e nf i n dt h ev a l u eo f" [cot^(-...

    Text Solution

    |

  18. Number of all four digit numbers having different digits formed of the...

    Text Solution

    |

  19. In how many ways 3 boys and 15 girls can sits together in a row such ...

    Text Solution

    |

  20. The letters of word ZENITH are written in all possible ways. If all th...

    Text Solution

    |