Home
Class 12
MATHS
If f(x) = {((x^(5)-32)/(x-2), x ne 2),(k...

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

A

16

B

80

C

32

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

  • LINEAR INEQUALITIES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|54 Videos

Similar Questions

Explore conceptually related problems

If the function f(x) = {{:((x^(2)-(a+2)x + a)/(x-2),,x ne 2),(2,,x = 2):} is continuous at x = 2, then :

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)={{:(Kx^(2),"if x" le 2),(3,"if x" gt 2):}} is continuous at x = 2, then the value of K is

If f(x)={{:((log_ex)/(x-1),,,x ne 1),(k,,,x=1):} is continuous at x = 1 , then the value of k is

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

HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. lim(x rarr oo) (1+2/n)^(2n)=

    Text Solution

    |

  2. If f(9) =9, f^(')(9) = 4, then lim(x rarr 9)(sqrt(f(x))-3)/(sqrtx - 3)...

    Text Solution

    |

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

    Text Solution

    |

  4. The points of discontinuity of f(x) = tan((pix)/(x+1))

    Text Solution

    |

  5. If the function f(x) = {{:((x^(2)-(a+2)x + a)/(x-2),,x ne 2),(2,,x = 2...

    Text Solution

    |

  6. The value of f(0) so that the function f(x) = (2x-sin^(-1)x)/(2x+tan^(...

    Text Solution

    |

  7. How should we define f(x) = (log(1+ax)-log(1-bx))/x at x = 0 so as to...

    Text Solution

    |

  8. Which of the following is false ?

    Text Solution

    |

  9. If f(x)={{:(xsin((1)/(x))", if "xne0),(0" , if "x=0):} then at x=0 th...

    Text Solution

    |

  10. Let f(x) = {((sin pix)/(5x), x ne 0),(k, x =0):} If f(x) is continuous...

    Text Solution

    |

  11. The function f(x)=|x|+(|x|)/(x) is

    Text Solution

    |

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

    Text Solution

    |

  13. If f(x) = {((sin 5x)/(x^(2)+2x), x ne 0),(k+1/2, x =0):} is continuous...

    Text Solution

    |

  14. Which one of the following is not true always?

    Text Solution

    |

  15. The points of discontinuity of f(x) = tan((pix)/(x+1))

    Text Solution

    |

  16. Let f(x) = {(-2sinx, x le -pi/2),(asinx +b, -pi/2 lt x lt pi/2),(cosx,...

    Text Solution

    |

  17. Let f(x) = (1-tanx)/(4x-pi),x ne (pi)/(4), x in [0, (pi)/(2)], if f(x)...

    Text Solution

    |

  18. Consider f(x)={{:((x^(2))/(|x|)","x!=0),(0","x=0.):}

    Text Solution

    |

  19. If the function f(x) = {((sin 3x)/x, x ne 0),(k/2, x = 0):} is continu...

    Text Solution

    |

  20. If f(x) = (x^(2)-10x +25)/(x^(2)-7x+10 for x ne 5 and f is continuous ...

    Text Solution

    |