Home
Class 12
MATHS
The period of function 2^({x})+sinpix+3^...

The period of function `2^({x})+sinpix+3^({x/2})+cos2pix` (where `{x}` denotes the fractional part of `(x)` is 2 (b) 1 (c) 3 (d) none of these

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

The period of function 2^({x}) +sin pi x+3^({x//2})+cos pi x (where {x} denotes the fractional part of x) is

Period of f(x)=cos2pi{x} is , where {x} denote the fractional part of x)

lim_(x->0) {(1+x)^(2/x)} (where {.} denotes the fractional part of x (a) e^2−7 (b) e^2−8 (c) e^2−6 (d) none of these

The period of the function |sin^3(x/2)|+|cos^5(x/5)| is

The total number of solution of sin{x}=cos{x} (where {} denotes the fractional part) in [0,2pi] is equal to 5 (b) 6 (c) 8 (d) none of these

If f(x) = {x} + sin ax (where {.} denotes the fractional part function) is periodic then

The domain of the function f(x)=1/(sqrt({sinx}+{sin(pi+x)})) where {dot} denotes the fractional part, is (a) [0,pi] (b) (2n+1)pi/2, n in Z (c) (0,pi) (d) none of these

The period of the function f(x)=[6x+7]+cospix-6x , where [dot] denotes the greatest integer function is: (a)3 (b) 2 pi (c) 2 (d) none of these

Solve : x^(2) = {x} , where {x} represents the fractional part function.

Draw the graph of y =(1)/({x}) , where {*} denotes the fractional part function.

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. The equation ||x-2|+a|=4 can have four distinct real solutions for x i...

    Text Solution

    |

  2. Find the range of the function f(x)=6^x+3^x+6^(-x)+3^(-x)+2.

    Text Solution

    |

  3. The period of function 2^({x})+sinpix+3^({x/2})+cos2pix (where {x} den...

    Text Solution

    |

  4. Find the domain and range of f(x)=sqrt(x^2-3x+2)

    Text Solution

    |

  5. If f is periodic, g is polynomial function and f(g(x)) is periodic and...

    Text Solution

    |

  6. Solve: x(e^x-1)(x+2)(x-3)^2lt=0.

    Text Solution

    |

  7. If f(x)= (x^m)^(1/n) ,n in N , is an even function, then m is (a)ev...

    Text Solution

    |

  8. Find the range of f(x)=(x^2)/(x^2+1)

    Text Solution

    |

  9. The period of the function |sin^3x/2|+|cos^5x/5| is 2pi (b) 10pi (c)...

    Text Solution

    |

  10. The number of real solutions of the (log)(0. 5)(x)=|x| is (a) 1 (b) ...

    Text Solution

    |

  11. The domain of definition of the function f(x)={x}^({x})+[x]^([x]) is ...

    Text Solution

    |

  12. If f(x)=max{x^3, x^2,1/(64)}AAx in [0,oo),t h e n f(x)={x^2,0lt=xlt=...

    Text Solution

    |

  13. Statement 1: The function f(x)=x^2+tan^(-1)x is a non-periodic functio...

    Text Solution

    |

  14. The function f(x)=sin(log(x+sqrt(1+x^2))) is (a) even function (b) odd...

    Text Solution

    |

  15. The function f: NvecN(N is the set of natural numbers) defined by f(n)...

    Text Solution

    |

  16. The function f: R-R is defined by f(x)=cos^2x+sin^4xforx in Rdot Th...

    Text Solution

    |

  17. If x is real, then the value of the expression (x^2+14x+9)/(x^2+2x+3)...

    Text Solution

    |

  18. The domain of sqrt(log10((5x-x^2)/4)) is

    Text Solution

    |

  19. The domain of the function f(x)=(log)(3+x)(x^2-1) is

    Text Solution

    |

  20. The domain of f(x)="log"|logx|i s (0,oo) (b) (1,oo) (c) (0,1)uu(1,oo...

    Text Solution

    |