Home
Class 11
MATHS
The value of [(0.16)^(log(2.5)(1/3+1/3^2...

The value of `[(0.16)^(log_(2.5)(1/3+1/3^2+1/3^3+….+oo))]^(1/2)` is a) 1 b) 2 c) 3 d) -1

A

2

B

3

C

4

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|59 Videos

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|50 Videos

  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

The value of (0.16)^("log"_(2.5)((1)/(3) + (1)/(3^(2)) + (1)/(3^(3)) + …."to" oo)) , is

4 1/3-2 1/3= (a) 2 1/3 (b) 2 (c) 3 1/3 (d) 1/2

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

The value of 64^(-1/3)\ (64^(1/3)-64^(2/3)), is (a) 1 (b) 1/3 (c) -3 (d) -2

The value of (lim)_(x->(3pi)/4)(1+t a n x1/3)/(1-2cos^2x) is (a) -1//2 (b.) -2//3 (c). -3//2 (d). -1//3

(2^-1+3^-1+5^-1)^0 is equals to: a) 2 b) 3 c)5 d)1

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

The value of lim_(nto oo)(1^(3)+2^(3)+3^(3)+……..+n^(3))/((n^(2)+1)^(2))

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

OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Exercise
  1. If |a| < 1 and |b| < 1, then the sum of the series a(a+b)+a^2(a^2+b^2)...

    Text Solution

    |

  2. If log(x)a, a^(x//2), log(b)X are in G.P. then x is equal to

    Text Solution

    |

  3. If a ,b ,c ,d are in G.P., then prove that (a^3+b^3)^(-1),(b^3+c^3)^(-...

    Text Solution

    |

  4. If 0ltxlt(pi)/(2) exp [(sin^(2)x+sin^(4)x+sin^(6)x+'.....+oo)log(e)2] ...

    Text Solution

    |

  5. The value of 0.2

    Text Solution

    |

  6. If the sum of an infinitely decreasing G.P. is 3, and the sum of the s...

    Text Solution

    |

  7. If 1/(1^2)+1/(2^2)+1/(3^2)+..." to "oo = pi^2/6, " then " 1/1^2+1/3^2+...

    Text Solution

    |

  8. The value of [(0.16)^(log(2.5)(1/3+1/3^2+1/3^3+….+oo))]^(1/2) is a) 1 ...

    Text Solution

    |

  9. If the sum of the first n terms of series be 5n^(2)+2n, then its secon...

    Text Solution

    |

  10. If x,|x+1|,|x-1| are first three terms of an A.P., then the sum of its...

    Text Solution

    |

  11. If a1,a2,a3,... are in A.P. and ai>0 for each i, then sum(i=1)^n n/(a(...

    Text Solution

    |

  12. If 1/(b-a)+1/(b-c)=1/a+1/c , then (A). a ,b ,a n dc are in H.P. (B). a...

    Text Solution

    |

  13. If,a,b and c are in H.P then the value of (ac+ab-bc)(ab+bc-ac)/(abc...

    Text Solution

    |

  14. If AM of the number 5^(1+x) and 5^(1-x) is 13 then the set of possible...

    Text Solution

    |

  15. If a,b,c are in A.P then a+1/(bc), b+1/(ca), c+1/(ab) are in

    Text Solution

    |

  16. The coefficient of x^(49) in the product (x-1)(x-3)(x-99)i s a. -99^...

    Text Solution

    |

  17. The coefficient of x^15 in the product (1-x)(1-2x) (1-2^2 x) (1-2^3 ...

    Text Solution

    |

  18. If S(n)=sum(r=1)^(n) a(r)=(1)/(6)n(2n^(2)+9n+13), then sum(r=1)^(n)sqr...

    Text Solution

    |

  19. If sum(r=1)^(n) a(r)=(1)/(6)n(n+1)(n+2) for all nge1, then lim(ntooo) ...

    Text Solution

    |

  20. Sum of n terms of the series 1/(1.2.3.4.)+1/(2.3.4.5) +1/(3.4.5.6)+.....

    Text Solution

    |