Home
Class 12
MATHS
If f(x)={((sin3x)/(e^(2x)-1),,,x!=0),(k-...

If `f(x)={((sin3x)/(e^(2x)-1),,,x!=0),(k-2,:,x=0):}` is
Continuous at x=0, then k=

A

1)`7/2`

B

2)`3/2`

C

3)`2/3`

D

4)`9/5`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • K-CET-MATHEMATICS -2018

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|58 Videos

  • K-CET-MATHEMATICS-2015

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|60 Videos

Similar Questions

Explore conceptually related problems

If f(x)={{:((3sin pi x)/(5x)", "x !=0),(2K" , " x=0):} is continuous at x=0 , then the value of K is

If the function f(x) = {((sin 3x)/x, x ne 0),(k/x, x = 0):} is continuous at x = 0, then k =

If f(x) = {((sin 5x)/(x^(2)+2x), x ne 0),(k+1/2, x =0):} is continuous at x = 0, then the value of k is

If f(x) = {{:((3 sin pi x)/(5 x),x ne 0),(2k,x = 0):} is continuous at x = 0, then the value of k is equal to :

if f(x)={((log_(e)x)/(x-1),,,x!=1),(k,,, x=1):} is continuous at x=1, then the value of k is

If f(x)={((1-cosx)/(x),xne0),(k, x=0):} is continuous at x=0 then k=

Let f(x) = {((sin pix)/(5x), x ne 0),(k, x =0):} If f(x) is continuous at x =0, then the value of k is

If f(x) = {((x^(5)-32)/(x-2), x ne 2),(k, x =2):} is continuous at x = 2, then k =

SUNSTAR PUBLICATION-K-CET-MATHEMATICS -2019-MCQs
  1. The inverse of the matrix [(2,5,0),(0,1,1),(-1,0,3)] is

    Text Solution

    |

  2. If P and Q are symmetric matrices of the same order then PQ-QP is

    Text Solution

    |

  3. If 3A+4B'=[(7,-10,17),(0,6,31)]and 2B-3A'[(-1,18),(4,0),(-5,-7)]" then...

    Text Solution

    |

  4. If A=[(1,3),(4,2)],B=[(2,-1),(1,2)]," then "|ABB'|=

    Text Solution

    |

  5. If the value of a third order determinant is 16, then the value of the...

    Text Solution

    |

  6. The eccentricity of the ellipse 9x^(2) + 25y^(2) = 225 is

    Text Solution

    |

  7. sum(r=1)^(n)(2r-1)=x" then "lim(nrarroo)[1^(3)/x^(2)+2^(3)/x^(2)+3^(3)...

    Text Solution

    |

  8. The negative of the statement "All continuous functions are differenti...

    Text Solution

    |

  9. Mean and standard deviation of 100 items are 50 and 4 respectively. Th...

    Text Solution

    |

  10. Two letters are chosen from the letters of the word 'EQUATIONS'. The p...

    Text Solution

    |

  11. int" x"^(3)sin3xdx=

    Text Solution

    |

  12. The area of the region above X-axis included between the parabola y^(2...

    Text Solution

    |

  13. The area of the region bounded by Y-axis, y=cos x and y =sinxx0lexlepi...

    Text Solution

    |

  14. The integrating factor of the differential equation (2x+3y^(2))dy=y dx...

    Text Solution

    |

  15. The equation of the curve passing through the point (1,1) such that th...

    Text Solution

    |

  16. The constant term in the expansion of [(3x+1,2x-1,x+2),(5x-1,3x+2,x+1)...

    Text Solution

    |

  17. If [x] represents the greatest integer function and f(x)=x-[x]-cos x" ...

    Text Solution

    |

  18. If f(x)={((sin3x)/(e^(2x)-1),,,x!=0),(k-2,:,x=0):} is Continuous at ...

    Text Solution

    |

  19. If f(x)=sin^(-1)[2^(x+1)/(1+4^(x))]," then "f^(1)(0)=

    Text Solution

    |

  20. If x=a sec^(2)theta, y=a tan^(2)theta" then "(d^(2)y)/dx^(2)=

    Text Solution

    |