Home
Class 12
MATHS
If h(x)=log(10)x, then the value of unde...

If `h(x)=log_(10)x,` then the value of `underset(n=1)overset(89)sumh"("tan^(Omega)")"=`

A

1

B

0

C

`-1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise Level -2|47 Videos
  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise Level -2 (Numerical Value Type for JEE Main)|14 Videos
  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos
  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos
  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

Similar Questions

Explore conceptually related problems

If h(x)=log_(10)x, then the value of sum_(n=1)^(89) h"("tan^(Omega)")"=

Let n be a positive integer and (1+x)^(n)+C_(0)+C_(1)x+C_(2)x^(2)+C_(3)x^(3)+ . . .+C_(r)x^(r)+ . . .+C_(n-1)x^(n-1)+C_(n)x^(n) Where C_(r) stands for .^(n)C_(r) , then Q. The values of underset(r=0)overset(n)(sum)underset(s=0)overset(n)(sum)(C_(r)+C_(S)) is

Let n be a positive integer and (1+x)^(n)+C_(0)+C_(1)x+C_(2)x^(2)+C_(3)x^(3)+ . . .+C_(r)x^(r)+ . . .+C_(n-1)x^(n-1)+C_(n)x^(n) Where C_(r) stands for .^(n)C_(r) , then Q. The value of underset(r=0)overset(n)(sum)underset(s=0)overset(n)(sum),C_(r),C_(S) is

If overset(4)underset(-1)int f(x)=4 and overset(4)underset(2)int (3-f(x))dx=7 , then the value of overset(-1)underset(2)int f(x)dx , is

Find the value of underset(r = 1)overset(10)sum underset(s = 1)overset(10)sum tan^(-1) ((r)/(s))

Suppose for every integer n, . underset(n)overset(n+1)intf(x)dx = n^(2) . The value of underset(-2)overset(4)intf(x)dx is :

The value of tan(1 ^∘)+tan(89 ^∘ ) is ____

"If" n in "and if "(1+ 4x +4 x^2)^n=underset(r=0)overset(2n)Sigma a_rx^r, "where" a_0,a_1,a_2,.....a_(2n) "are real number" The value of 2 underset(r=0) overset (n) Sigma_(2r) is

The value of the integral underset(-1)overset(3 )int ("tan"^(1)(x)/(x^(2)+1)+"tan"^(-1)(x^(2)+1)/(x))dx is equal to

If omega is a complex nth root of unity, then underset(r=1)overset(n)(ar+b)omega^(r-1) is equal to

VMC MODULES ENGLISH-FUNCTIONS-Level -1
  1. If f(x)=(1)/((1-x)),g(x)=f{f(x)}andh(x)=f[f{f(x)}]. Then the value of ...

    Text Solution

    |

  2. The period of function (|sin x|+|cos x|)/(|sin x-cos x|+|sin x+cos x|)...

    Text Solution

    |

  3. Statement-1: Function f(x)=sin(x+3 sin x) is periodic . Statement-2...

    Text Solution

    |

  4. Period of f(x) = sin^4 x + cos^4 x

    Text Solution

    |

  5. If f(x)=sin (sqrt([lambda])x) is a function with period pi , [ ] wher...

    Text Solution

    |

  6. If F(x)=(sinpi[x])/({x}) then F(x) is (where {.} denotes fractional pa...

    Text Solution

    |

  7. If 2f (x-1)-f((1-x)/x)=x , then f(x) is:

    Text Solution

    |

  8. Suppose f is a real valued function satisfying f(x+f(x))=4f(x) and f(1...

    Text Solution

    |

  9. If h(x)=log(10)x, then the value of underset(n=1)overset(89)sumh"("tan...

    Text Solution

    |

  10. If f(x)+2f((1)/(x))=3x,x ne 0, and S={x in R: f(x)=f(-x)}, then S

    Text Solution

    |

  11. Let h(x) = min {x, x^2}, for every real number of X.

    Text Solution

    |

  12. The function f(x) = "max"{(1-x), (1+x), 2}, x in (-oo, oo) is

    Text Solution

    |

  13. Let a function f (x)= be such that f(x)=||x^(2)-3|-2|. Equation has...

    Text Solution

    |

  14. Let a function f (x)= be such that f(x)=||x^(2)-3|-2|. Equation f (...

    Text Solution

    |

  15. Let a function f (x)= be such that f(x)=||x^(2)-3|-2|. Equation f (...

    Text Solution

    |

  16. The number of roots of the equation log(3sqrtx)x + log(3x) sqrtx = 0 ...

    Text Solution

    |

  17. If x in [0,2pi]" then "y(1)=(sin x)/(|sin x|), y(2)=(|cos x|)/(cos x...

    Text Solution

    |

  18. The range of the function f(x)=sin{log(10)((sqrt(4-x^(2)))/(1-x))} ,is

    Text Solution

    |

  19. If f(x)+2f(1-x)=x^2+2AA x in R, then f(x) given as

    Text Solution

    |

  20. Let f:R to R be a function defined by f(x)=(|x|^(3)+|x|)/(1+x^(2)), t...

    Text Solution

    |