Home
Class 12
MATHS
Find the value of the constant k so that...

Find the value of the constant `k` so that the function `f` , defined below, is continuous at `x=0` , where `f(x)={((1-cos4x)/(8x^2))k"if"x!="if"x=0`

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

Find the value of the constant k so that the function given below is continuous at x=0 .f(x)={(1-cos2x)/(2x^(2)),quad x!=0quad k,quad x=0

Determine the value of the constant k, so that the function f(x)={(kx)/(|x|), if x =0 is continuous at x=0

Determine the value of the constant k so that the function f(x)={kx^(2),quad if x 2 is continuous at x=2

If the functions f(x), defined below is continuous at x=0 find the value of k:f(x)={(1-cos2x)/(2x^(2)),quad x 0

Find the value of the constant k so that the given function is continuous at the indicated point: f(x)={(1-cos2kx)/(x^(2)),quad if x!=08,quad if x=0 at x=0

If f(x) is continuous at x=0 , where f(x)={:{((1-cos k x)/(x^(2))", for " x!=0),(1/2 ", for " x=0):} , then k=

If f(x) is continuous at x=0 , where f(x)={:{((1-cos k x)/(x^(2))", for " x!=0),(1/2 ", for " x=0):} , then k=

If f(x) is continuous at x=0 , where f(x)={:{((1-cos x)/(x)", for " x!=0),(k ", for" x = 0 ):} , then k=

Number of values of k so that the function f(x)={[4(2x-x^(2)), when x =0] is continuous at x=0, is

Find the value of the constant k so that the given function is continuous at the indicated point: f(x)={k(x^(2)+2),quad if x 0 at x=0

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Write the equation of the straight line through the point (alpha,beta,...

    Text Solution

    |

  2. If y=tan^(-1)(a/x)+logsqrt((x-a)/(x+a)) , Prove that (dy)/(dx)=(2a^3)/...

    Text Solution

    |

  3. Find the value of the constant k so that the function f , defined belo...

    Text Solution

    |

  4. The sides of an equilateral triangle are increasing at the rate of ...

    Text Solution

    |

  5. Find intervals in which the function given by f(x)=3/(10)x^4-4/5x^3-3x...

    Text Solution

    |

  6. Find the particular solution of the differential equation x(dy)/(dx)=y...

    Text Solution

    |

  7. Differentiate tan^(-1)((sqrt(1-x^2))/x) with respect to cos^(-1)(2xsqr...

    Text Solution

    |

  8. Using properties of determinants, prove that |[2y,y-z-x,2y],[2z,2z, ...

    Text Solution

    |

  9. Write the vector equation of the plane, passing through the point (...

    Text Solution

    |

  10. Let A={1,2,3,...,9} and R be the relation in A xx A defined by (a , b)...

    Text Solution

    |

  11. Evaluate : int(x-3)sqrt(x^2+3x-18)dx

    Text Solution

    |

  12. Evaluate : int(sin^6x+cos^6x)/(sin^2xdotcos^2x)dx

    Text Solution

    |

  13. Find the particular solution of the differential equation e^xsqrt(1-y^...

    Text Solution

    |

  14. A dealer in rural area wishes to purchase a number of sewing machin...

    Text Solution

    |

  15. From a lot of 15 bulbs which include 5 defectives, a sample of 4 bu...

    Text Solution

    |

  16. A card from a pack of 52 playing cards is lost. From the remaining ...

    Text Solution

    |

  17. Find the distance between the point (7,2,4) and the plane determined b...

    Text Solution

    |

  18. Find the distance of the point (-1,-5,-10) from the point of inters...

    Text Solution

    |

  19. Find the intervals in which the function f(x)=3x^4-4x^3-12 x^2+5 is (a...

    Text Solution

    |

  20. Assume that each born child is equally likely to be a boy or ...

    Text Solution

    |