Home
Class 12
MATHS
Let f(x)={((sin pix)/(5x),"when "x ne 0)...

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

A

1

B

`(pi)/(5)`

C

`(5)/(pi)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 4|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 2|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

If f(x)={((sin5x)/(x^(2)+2x),"when "x ne 0),(k+(1)/(2),"when "x =0):} is continuous at x=0, then the value of k is-

If the function f(x)={{:((1-cos(ax))/(x^2)," when "xne0),(1," when "x=0):} be continuous at x=0, then find the value of a.

Let f (x) ={{:((sin pix)/(5x) ",","when " x ne0),(K",", "when" x=0):} If lim _(xto0) lim f(x) =f(0), then the value of K is-

Let f(x)={{:((1-cos2ax)/(xsin2x),"when " xne0),(" " (1)/(2),"when " x =0):} If f (x) is continuous at x = 0 , find the value of alpha .

f(x)={([x]+[x], "when" x ne 2),(lambda, "when" x = 2):} If f(x) is continuous at x = 2, the value of lambda will be

If f(x)={(((4^(x)-1)^(3))/("sin"(x)/(a)log(1+(x^(2))/(3))),"when "x ne 0),(9(log_(e)4)^(3),"when "x =0):} is a continuous function at x=0, then the value of a is -

If the function f(x) ={{:((sinx)/(kx)+k",when "xne0),(2" when "x=0):} is continuous at x = 0, find k.

A function f (x) is defined as followes: f(x)={{:(xsin.(1)/(x),"when " xne0),(0,"when " x=0):} Show that f (x) is continuous at x =0 .

If f(x)={{:(x+sinx,"when "xlt0),(0,"when "xge0):} examine whether f(x) is continuous at x = 0.

Let f(x)={((alpha cotx)/x+beta/x^2 ,, 0<|x|lt=1),(1/3 ,, x=0):} . If f(x) is continuous at x=0 then the value of alpha^2+beta^2 is

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 3
  1. If xy=ax^(2)+(b)/(x), then the value of x^(2)(d^(2)y)/(dx^(2))+2x(dy...

    Text Solution

    |

  2. The value of c in Rolle's theorem when f(x)=2x^(3)-5x^(2)-4x+3, x in [...

    Text Solution

    |

  3. Let f(x)={((sin pix)/(5x),"when "x ne 0),(k,"when "x=0):} If f(x) i...

    Text Solution

    |

  4. If int f(x) dx=f(x), then int {f(x)}^(2)dx is equal to -

    Text Solution

    |

  5. The value of int(sqrt(tanx))/(sinx cosx)dx is equal to -

    Text Solution

    |

  6. The value of int(0)^((pi)/(2))x sin x dx is equal to -

    Text Solution

    |

  7. int(-2)^(2)(|x|+|x-1|)dx is equal to -

    Text Solution

    |

  8. The value of int(0)^((pi)/(2))log(tan x)dx is equal to -

    Text Solution

    |

  9. The value of int(0)^(pi)log sin^(2)x dx is equal to -

    Text Solution

    |

  10. The value of the integral int(1)^(e ) (log x)^(2)dx is -

    Text Solution

    |

  11. The value of int(dx)/(e^(x)+e^(-x)) is equal to -

    Text Solution

    |

  12. For an integrable function f(x) in [-3, 3], int(-3)^(3) f(x)dx=0 when...

    Text Solution

    |

  13. If I(m)=int(1)^(e )(log(e)x)^(m)dx, then the value of (I(m)+mI(m-1)) i...

    Text Solution

    |

  14. If (d)/(dx)f(x)=g(x), then the value of int(a)^(b)f(x)g(x)dx is -

    Text Solution

    |

  15. The value of the integral int(0)^(1) x(1-x)^(n)dx is -

    Text Solution

    |

  16. The value of lim(n to oo) sum(r=1)^(n)(r^(2))/(r^(3)+n^(3)) is -

    Text Solution

    |

  17. The value of int(0)^(1) (log(1+x)dx)/(1+x^(2)) is -

    Text Solution

    |

  18. The value of lim(x to 0)(int(0)^(x^(2))sec^(2)t dt)/(x sin x) is equal...

    Text Solution

    |

  19. If phi (x)=f(x)+x f'(x), then the value of int phi (x) dx is -

    Text Solution

    |

  20. The value of the integral int(0)^(2pi)(sin x+|sin x|)dx is equal to -

    Text Solution

    |