Home
Class 12
MATHS
Show that : sin^2x is continuous for eve...

Show that : `sin^2x` is continuous for everyreal value of x.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    SHARAM PUBLICATION|Exercise EXAMPLE|118 Videos

  • DETERMINANT

    SHARAM PUBLICATION|Exercise EXAMPLE|90 Videos

Similar Questions

Explore conceptually related problems

Show that sinx is continuous for every real x.

Examine that sin|x| is a continuous function.

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

Show that f(x)=|x| is continuous at x=0 but not deferentiable at x=0 .

If f(x)=( x^3+x^2-16x + 20)/(x-2)^2 if x!=2 = k if x = 2 is continuous at for all x, then what is the value of k.

The function f(x) ={[(x^3-3x+2)/(x^2-10^2,ifx!=1],[K,if x=1]:} is continuous for all x then what is value of k.

If f(x) = {((1-cos4x)/x^2, when x 0):} . is continuous at x=0, then the value of a will be.

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

If 'f(x)= {((1-cos4x)/(x^2)),whenx 0):} , and f is continuous at x=0, then find the value of k.

SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. For what value of k the following function is continuous at x=0 ? f(...

    Text Solution

    |

  2. If f(x)={(ax^2+b if x lt1),(1 if x=1),(2ax-b if xgt1):} is continuous...

    Text Solution

    |

  3. Show that : sin^2x is continuous for everyreal value of x.

    Text Solution

    |

  4. f(x)={(x^2 sin (1/x), xne0 ),(0, x=0):} at x=0

    Text Solution

    |

  5. If 'f(x)= {((1-cos4x)/(x^2)),whenx<0),(k,whenx=0),(sqrtx/(sqrt(16+sqrt...

    Text Solution

    |

  6. Find the value of k so that the function f defined by f(x)={((kcos x)/...

    Text Solution

    |

  7. If the function f(x)={:{(3ax+b", if "xgt1),(11", if "x=1)...

    Text Solution

    |

  8. Find all points of discontinuity of f, where f is defined by f(x)={:{(...

    Text Solution

    |

  9. Find the derivative of tan^(-1)((cosx+sinx)/(cosx-sinx)) w.r.t. x.

    Text Solution

    |

  10. What is the derivative of e^(3logx) w.r.t.x?

    Text Solution

    |

  11. If u=t^2and v=sint^2then dv/du=.

    Text Solution

    |

  12. If y=sec^(-1)(sqrtx+1)/sqrtx+sin^(-1)fracsqrtx(sqrtx+1)then dy/dx=

    Text Solution

    |

  13. Write the derivative of sinx with respect to cosx.

    Text Solution

    |

  14. If y=sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^(2))] then find (dy)/(dx)

    Text Solution

    |

  15. if e^x+e^y=e^(x+y) then show that (dy)/(dx)+e^(y-x)=0.

    Text Solution

    |

  16. Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) w.r.t. sin^(-1)(2xsqrt(1-x...

    Text Solution

    |

  17. Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) w.r.t. sin^(-1)(2xsqrt(1-x...

    Text Solution

    |

  18. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) w.r.t sin^(-1)((2x)/(1+x^2))...

    Text Solution

    |

  19. Write that condition of Rolle’s theorem which is violated by the funct...

    Text Solution

    |

  20. If f(0)=0,f'(0)=2 then what is the derivative of y = f(f(f(f(x)))) at...

    Text Solution

    |