Home
Class 12
MATHS
The sum of 0. 2+0004+0. 00006+0. 0000008...

The sum of `0. 2+0004+0. 00006+0. 0000008+...` to `oo` is `(200)/(891)` b. `(2000)/(9801)` c. `(1000)/(9801)` d. none of these

A

`(200)/(891)`

B

`(2000)/(9801)`

C

`(1000)/(9801)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos

  • SETS

    DISHA PUBLICATION|Exercise EXERCISE-2 : CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

2% of 2=? a.0.04 b.0.4 c.0.02 d.0.004

The sum of the series ( 1+ 0.6 + 0.06 + 0.006 + 0.0006 + ......) is

.04xx?=.000016(a)0.0004(b)0.04(c)4 (d) None of these

sqrt(0.0169xx?)=1.3(a)10(b)100(c)1000 (d) None of these

400-:0.1xx0.2=?(a)0.8(b)8(c)80(d)8000(e) None of these

int_0^oo (xlogx)/(1+x^2)^2dx= (A) e (B) 1 (C) 0 (D) none of these

4848-:24xx11-222=?(a)200(b)2444 (c) 2000(d)115(3)/(8) (e) None of these

int_0^oo logx/(1+x^2)dx= (A) log2 (B) pi/2 (C) 0 (D) none of these

DISHA PUBLICATION-SEQUENCES AND SERIES -EXERCISE -1 : Concept Builder
  1. If x(1), x(2), x(3) .................x(n) are in H.P.then x(1)x(2)+x(2...

    Text Solution

    |

  2. If the harmonic mean between a and b be H, then the value of 1/(H-a)+...

    Text Solution

    |

  3. The sum of 0. 2+0004+0. 00006+0. 0000008+... to oo is (200)/(891) b. ...

    Text Solution

    |

  4. If the p^(th), q^(th) and r^(th) terms of a H.P. are a,b,c respectivel...

    Text Solution

    |

  5. If a,b,c are three distinct positive real numbers which are in H.P., t...

    Text Solution

    |

  6. If a,b,c are in H.P., then the value of ((1)/(b)+(1)/(c)-(1)/(a))((1...

    Text Solution

    |

  7. If the 7^(th) term of a H.P is (1)/(10) and the 12^(th) term is (1)/(2...

    Text Solution

    |

  8. If 1/1^4+1/2^4+1/3^4+...+oo=pi^4/90, then 1/1^4+1/3^4+1/5^4+...+oo=

    Text Solution

    |

  9. If x, y and z are pth, gth and rth terms respectively of an A.P and al...

    Text Solution

    |

  10. The AM, HM and GM between two number are (144)/(15), 15 and 12, but no...

    Text Solution

    |

  11. If a1, a2, a3, an are in H.P. and f(k)=(sum(r=1)^n ar)-ak ,t h e n (a...

    Text Solution

    |

  12. If the p^(th), q^(th) and r^(th) terms of a GP. Are again in G.P., the...

    Text Solution

    |

  13. If x gt 0, (x^(n))/(1+x+x^(2)+...+x^(2n)) is

    Text Solution

    |

  14. If a + b + c = 3 and a > 0, b>0,c>0 the greatest value of a^2b^3c^2

    Text Solution

    |

  15. If 1/(b-a)+1/(b-c)=1/a+1/c , then a,b,c are in (A) AP (B) GP (C) ...

    Text Solution

    |

  16. If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx ,...

    Text Solution

    |

  17. If A and G be the AM and GM between two positive no.'s ; then the numb...

    Text Solution

    |

  18. Consider the sequence of numbers 121, 12321, 1234321,... Each term in ...

    Text Solution

    |

  19. The sum of i-2-3i+4 up to 100 terms, where i=sqrt(-1) is 50(1-i) b. 2...

    Text Solution

    |

  20. In a geometric progression with first term a and common ratio r, what ...

    Text Solution

    |