Home
Class 12
MATHS
Discuss the continuity of the following ...

Discuss the continuity of the following functions :
`f(x)= sin x +cos x`

Text Solution

Verified by Experts

The correct Answer is:
continuous
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT BANGLISH|Exercise EXERCISE 5.2|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT BANGLISH|Exercise EXERCISE 5.3|15 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXAMPLES|9 Videos

  • APPLICATION OF INTEGRALS

    NCERT BANGLISH|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NCERT BANGLISH|Exercise Miscellaneous Exercises on Chapter 4|18 Videos

Similar Questions

Explore conceptually related problems

Discuss the continuity of the following function : f(x)={1,if x is rational , 0 ,if x is irrational

Sketch the graph of the following functions: f(x)=sin|x|

Sketch the graph of the following functions: f(x)=|sin|x||

Find the derivatives of the following functions w.r.t.x : (x sin x + cos x ) /(x cos x - sin x )

Discuss the continuity of the function f given by f(x)= |x|" at "x=0 .

Discuss the continuity of the function f defined by f(x)= (1)/(x), x ne 0 .

Draw the rough sketch of the graph and discuss the continuity of the function f(x)=|x-1|+|x-2|.

Find the derivatives of the following functions : (sin x - x cos x )/(x sin x + cos x )

Discuss the continuity of the function f given by f(x)= x^(3)+x^(2)-1 .

The range of the function f(x) = sin x + cos x is

NCERT BANGLISH-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5.1
  1. Find the relationship between a and b so that the function f defined b...

    Text Solution

    |

  2. For what value of lambda is the function defined by f(x)={{:(lambda(...

    Text Solution

    |

  3. Show that the function defined by g(x) = x-[x] is a discontinuous at a...

    Text Solution

    |

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

    Text Solution

    |

  5. Discuss the continuity of the following functions : f(x)= sin x +cos...

    Text Solution

    |

  6. Discuss the continuity of the following functions : f(x)= sin x - co...

    Text Solution

    |

  7. Discuss the continuity of the following functions : f(x) = sin x. co...

    Text Solution

    |

  8. Discuss the continuity of the cosine functions.

    Text Solution

    |

  9. Find all points of dicontinuity of f, where f(x)={{:((sinx)/(x)," if...

    Text Solution

    |

  10. Determine if f defined by f(x)={{:(x^(2)sin""(1)/(x)," if "x ne 0),(...

    Text Solution

    |

  11. Examine the continuity of f, where f is defined by f(x)={{:(sin x-co...

    Text Solution

    |

  12. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  13. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  14. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  15. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  16. Find the values of a and b such that the function defined by f(x)={{...

    Text Solution

    |

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

    Text Solution

    |

  18. Show that the function defined by f(x)= |cos x| is a continuous functi...

    Text Solution

    |

  19. Examine that sin |x| is a continuous function.

    Text Solution

    |

  20. Find all the points of discontinuity of f defined by f(x)= |x|-|x+1|.

    Text Solution

    |