Home
Class 12
MATHS
Prove that the function defined by f(...

Prove that the function defined by
`f(x)= cosx^2`
is a continuous function

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MAXIMUM PUBLICATION|Exercise EXAMPLE|119 Videos

  • PROBABILITY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|144 Videos

Similar Questions

Explore conceptually related problems

Show that the function defined by f(x)=sin(x^2) is a continuous function?

Show that the function defined by f(x)=sin (x^2) is a continuous function.

Show that the function f(x) defined by f(x)=sin(cosx) is a continuous function .

Is the function defined by f(x)=x^2-sinx+5 continuous at x=pi?

Prove that the function f: N rarr N , defined by f(x)=x^2+x+1 is one-one but not onto.

Is the function defined by f(x)={(x+3,ifxle1),(x-3,ifx>1):} a continuous function? Justify.

Examine whether the function defined by f(x)={(x+5,xle1),(x-5,x>1):} is continuous or not .

Prove that the identity function on real numbers given by f(x)= x is continuous at every real number

MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[-2,0,1],[9,2,-3],[6,1,-2]] Prov...

    Text Solution

    |

  2. if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[-2,0,1],[9,2,-3],[6,1,-2]] ...

    Text Solution

    |

  3. Prove that the function defined by f(x)= cosx^2 is a continuous f...

    Text Solution

    |

  4. if y=e^(a cos^-1x),-1lexle1, show that dy/dx= (-ae^(acos^-1x))/(...

    Text Solution

    |

  5. Evaluate int sin mxdx

    Text Solution

    |

  6. Evaluate int 1/(sqrt (x^2+2x+2))dx

    Text Solution

    |

  7. Evaluate int x/((x+1)(x+2))dx

    Text Solution

    |

  8. if bara=3i+2j+2k,barb=i+2j-2k find bara+barb,bara-barb

    Text Solution

    |

  9. if bara=3i+2j+2k,barb=i+2j-2k find a unit vector perpendicular to bo...

    Text Solution

    |

  10. Consider the points A(1.2.7),B(2,6,3),C(3,10,-1) find bar(AB),bar(BC...

    Text Solution

    |

  11. Consider the points A(1,2,7),B(2,6,3),C(3,10,-1) prove that A,B,C ar...

    Text Solution

    |

  12. Find the angles between the lines (x-2)/2=(y-1)/5=(z+3)/-3 and (x+...

    Text Solution

    |

  13. find the shortest distance between the pair of lines barr=(i+2j+3k)...

    Text Solution

    |

  14. The probability distribution of a random variable is given by p(x) . W...

    Text Solution

    |

  15. The following is a probability distribution function of a random vari...

    Text Solution

    |

  16. Construct a 2times2 matrix whose elements are given a(ij)=2i+j

    Text Solution

    |

  17. Construct a 2times2 matrix whose elements are given a(ij)=2i+j.find A^...

    Text Solution

    |

  18. If intf(x)/(x^2+1)dx=logabs(x^2+1)+C, then f(x)=……………..

    Text Solution

    |

  19. Find intxe^xdx

    Text Solution

    |

  20. Form the differential equation of the family of all circles touching t...

    Text Solution

    |