Home
Class 12
MATHS
The sum of the series 1 + 1/(4.2!) + 1/(...

The sum of the series `1 + 1/(4.2!) + 1/(16.4!) + 1/(64.6!) + ....infty` is

A

`(e + 1)/sqrt(e)`

B

`(e - 1)/sqrt(e)`

C

`(e + 1)/(2sqrt(e))`

D

`(e - 1)/(2sqrt(e))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|25 Videos

  • APPLICATION OF INTEGRALS

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION (LAB Work )|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|194 Videos

Similar Questions

Explore conceptually related problems

The sum of the series 1/(2!) - 1/(3!) + 1/(4!) - …….. upto infinity is

The sum of series 1/2! + 1/4! + 1/6! + …….. is

The sum of the series 1 + (1)/(3^(2)) + (1 *4)/(1*2) (1)/(3^(4))+( 1 * 4 * 7)/(1 *2*3)(1)/(3^(6)) + ..., is

The sum to n terms of the series 1/2 + 3/4 + 7/8 + 15/16 + ....... is

The sum of the series 1/1.2 - 1/2.3 + 1/3.4 … upto infty is equal to

The value of the series 1/2+7/4+13/8+19/16+... is

The sum of the series 0.4 + 0.004 + 0.00004 + infty is

The A.M. of the series 1, 2, 4, 8, 16,.....,2^n is -

Sum to infininty of the series 1 + 4/5 + 7/5^(2) + 10/5^(3) + ...... is

NEW JOYTHI PUBLICATION-BINOMIAL THEOREM-QUESTIONS FROM COMPETITIVE EXAMS
  1. The constant term in the expansion of [1 - (x - 2)^(2)]^(10 is equal t...

    Text Solution

    |

  2. Let t(n) denote the n^(th) term in a binomial expansion. If t(6)/t(5) ...

    Text Solution

    |

  3. The middle term in the expansion of (10/x + x/10)^(10) is

    Text Solution

    |

  4. The coefficient of x^(49) in the product (x - 1) (x - 2) (x - 3) ........

    Text Solution

    |

  5. The sum of the coefficients in the binomial expansion of (1/x + 2x)^(6...

    Text Solution

    |

  6. The value of ""^(2)P(1) + ^(3)P(1) + ...... + ^(n)P(1) equal to

    Text Solution

    |

  7. The positive integer just greater than (1 + .0001)^(10000) is

    Text Solution

    |

  8. r and n are positive integers r gt 1,n gt 2 and coefficient of (r + 2)...

    Text Solution

    |

  9. The coefficients of x^(p) and x^(q) in the expansion of (1 + x)^(p + q...

    Text Solution

    |

  10. If the sum of the coefficients in the expansion of (a + b)^(n) is 4096...

    Text Solution

    |

  11. If x is positive, the first negative term in the expansion of (1 + x)^...

    Text Solution

    |

  12. The number of integral terms in the expansion of (sqrt(3) + root8(5))^...

    Text Solution

    |

  13. The coefficient of the middle term in the binomial expansion in powers...

    Text Solution

    |

  14. The coefficient of x^(n) in expansion of (1 + x)(1 - x)^(n) is

    Text Solution

    |

  15. If s(n) = sum(r = 0)^(n) 1/(""^(n)C(r)) and t(n) = sum (r = 0)^(n) r/(...

    Text Solution

    |

  16. If the coefficient of x^(7) in [ax^(2) + (1/(bx))]^(11) equals the coe...

    Text Solution

    |

  17. If x is so small that x^(3) and higher power of x may neglected, then ...

    Text Solution

    |

  18. The sum of the series 1 + 1/(4.2!) + 1/(16.4!) + 1/(64.6!) + ....infty...

    Text Solution

    |

  19. If (1 + x - 3x^(2))^(10) = a(0) + a(1)x + a(2)x^(2) + ....... + a(20)x...

    Text Solution

    |

  20. In the binomial expansion of (a - b)^(n), n gt= 5, the sum of 5^(th) a...

    Text Solution

    |