Home
Class 12
MATHS
Let f(x) = [sinx], is f continuous at x ...

Let `f(x) = [sinx]`, is f continuous at `x = pi/2`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = x[x]. Is f continuous on left of x = 2.

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

Let f(x) = [x] + [-x] for x ne 0 and f (0) = lambda . For what value of lambda , if any, is f continuous at x = 0?

Let f(x)=|sinx| . Then

Let f(x) = (x+|x|)/x for x ne 0 and let f (0) = 0, Is f continuous at 0?

Let f(x) = |x| cos (1/x) for x ne 0 . Write the down the value of (f) (0) if f is continuous at x = 0

If f(x)={(mx+1" , if "xle(pi)/(2)),(sinx+n" , if "xgt(pi)/(2)):} , is continuous at x= (pi)/(2) , then

Let f(X) = {:{((x-1) tan (pi/2x), x ne 1),(k, x =1):} . Find k if f is continuous at x = 1.

Let f(x) = (log(1+x))/(sinx) for x ne 0 . Find f(0) if f is continuous at x = 0

PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find ainR so that f(x) = {:{(x^2, x ge0),(ax,x<0):} is continuous at 0...

    Text Solution

    |

  2. Let f(x) = (2^(1/x))/(1+2^(1/x)) for x ne 0. Find f(0) if f is right c...

    Text Solution

    |

  3. Let f(x) = [sinx], is f continuous at x = pi/2

    Text Solution

    |

  4. Let f(x) = {:{(2x-5,if xge2),(x^2, if x <2):}. Is f continuous at x = ...

    Text Solution

    |

  5. Determine the value of the constant k so that the function f(x) = {:{(...

    Text Solution

    |

  6. Given f(x) = 1/(x+2). Write down the set of points of discontinuity of...

    Text Solution

    |

  7. Write down the domain of continuity of the function f(x) = x|x|

    Text Solution

    |

  8. Let f(x) = |x| cos (1/x) for x ne 0. Write the down the value of (f) ...

    Text Solution

    |

  9. Write down the domain of continuity off(x) = e^(|x|)

    Text Solution

    |

  10. Let f(x) = x[x]. Is f continuous on left of x = 2.

    Text Solution

    |

  11. Find the value of 'k', such that the function : f(x) = {:{(2x^(x+2)-...

    Text Solution

    |

  12. Find d/(dx)(1/(sqrt(1-x^2))

    Text Solution

    |

  13. Compute d/(dx) (x|x|) when x < 0

    Text Solution

    |

  14. Find dy/dx when xy = 1

    Text Solution

    |

  15. Write down the value of dy/dx at x = e when y = log(a) x

    Text Solution

    |

  16. Compute d/(dx)(sin^-1(sinx)) when pi/2 le x le (3pi)/2

    Text Solution

    |

  17. Find d/(dx)(cos^-1 (cosx)) when pi le x le 2pi

    Text Solution

    |

  18. Find d/dx (tan^-1(tanx)) when - pi/2 < x < pi/2

    Text Solution

    |

  19. Compute underset(h rarr0)Lim((sin(x+h) - sinx)/h)

    Text Solution

    |

  20. Compute d/(dx) (log(e) |sinx|), - pi/2 < x < pi/2

    Text Solution

    |