Home
Class 12
MATHS
Show that f(x) = sinx is continuous for ...

Show that `f(x) = sinx` is continuous for all values of x.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5b|8 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5c|14 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|23 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Show that f(x)=cos x is continuous for all values of x.

A function f(x) satisfies the following property: f(x+y)=f(x)f(y)dot Show that the function is continuous for all values of x if its is continuous at x=1.

Show that f(x)=|x| is continuous at x=0

A function f(x) satisfies the following property: f(xdoty)=f(x)f(y)dot Show that the function f(x) is continuous for all values of x if it is continuous at x=1.

The function f(x) =sin|x| is continuous for all x

Show that f(x)=x-sinx is increasing for all x in R

Prove that f(x)=sqrt(|x|-x) is continuous for all xgeq0.

Prove that f(x)=sqrt(|x|-x) is continuous for all xgeq0 .

If f is a real function such that f(x) > 0,f^(prime)(x) is continuous for all real x and a xf^(prime)(x)geq2sqrt(f(x))-2af(x),(a x!=2), show that sqrt(f(x))geq(sqrt(f(1)))/x ,xgeq1 .

Show that f(x)=x-sinx is increasing for all x in R .

NAGEEN PRAKASHAN ENGLISH-Continuity and Differentiability-Exercies 5a
  1. Discuss the continuity of the function f defined by f(x)=1/x , x!=0.

    Text Solution

    |

  2. Discuss the continuity of the function f(x)={((|x|)/x", " xne 0)...

    Text Solution

    |

  3. (i) Dissusse the continuity of the function f(x)={(|x-a|", " xne a...

    Text Solution

    |

  4. Show that f(x) = sinx is continuous for all values of x.

    Text Solution

    |

  5. Prove that f(x) = {sinx/x ; x != 0 and 1 ; x=0. is continuous at x=0...

    Text Solution

    |

  6. If f(x) ={:{((sin 3x)/(sin 5x)", "x ne 0),(0", " x= 0):}, then d...

    Text Solution

    |

  7. Show that the function f(x) ={:{((sin 3x)/(x)", "x ne 0),(1", " ...

    Text Solution

    |

  8. Discuss the continuity of f(x) ={:{((sin^2 2x)/(x^2)", "x ne 0),(1", ...

    Text Solution

    |

  9. Discuss the continuity of f(x) ={:{(cos""(1)/(x)", "x ne 0),(" "1",...

    Text Solution

    |

  10. Discuss the continuity of f(x) ={:{(sin""(1)/(x)", "x ne 0),(" "1", ...

    Text Solution

    |

  11. Discuss the continutiy of f(x) ={:{(xcos""(1)/(x)", "x ne 0),(" "0...

    Text Solution

    |

  12. Disuss the continutiy of f(x) ={:{((sin^2 x)/(x^2)", "x ne 0),(" "0"...

    Text Solution

    |

  13. If the function f(x) ={:{((3x^3-2x^2-1)/(x-1)", "x ne 1),(" "K", ...

    Text Solution

    |

  14. For what value of k, the function f(x) ={:{(kx^2", " x le 2 ),(" ...

    Text Solution

    |

  15. For what value of k, the function f(x) ={:{((x^2-4)/(x-2)", " x ne 2...

    Text Solution

    |

  16. For what value of k, the function f(x) ={:{(2x+1", "x gt2),(" ...

    Text Solution

    |

  17. If the function f(x) given by f(x)={3a x+b ,\ \ \ if\ x >1\ \ \ \ \ \ ...

    Text Solution

    |

  18. Discuss the continuity of the function f(x) ={:{((1+cos x)/(tan^2 x...

    Text Solution

    |

  19. Discuss the continuity of the function f(x) ={:{((Sinx)/(x) ", "x ...

    Text Solution

    |

  20. Show that the function f(x)=2x-|x| is continuous at x=0 .

    Text Solution

    |