Home
Class 12
MATHS
Let f(x)={:((1+cosx)/((pi-x)^(2)). (sin^...

Let `f(x)={:((1+cosx)/((pi-x)^(2)). (sin^(2)x)/(log(1+pi^(2)-2pix+x^(2))),x!=pi),(k,x=pi):}`
f(x) is continuous function at `x=pi` then k is equal to

Text Solution

Verified by Experts

The correct Answer is:
`0.5`
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 53

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos
  • NTA TPC JEE MAIN TEST 55

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|10 Videos

Similar Questions

Explore conceptually related problems

Let f(x)={((1+cosx)/((pi-x)^(2)).(sin^(2)x)/(ln(1+pi^(2)-2pix+x^(2))),x ne pi),(lambda, x=pi):}

Let f(x)={{:(((1-cosx)/((2pi-x)^(2)))((sin^(2)x)/(log(1+4pi^(2)-4pix+x^(2)))),:,xne2pi),(" "lambda,:,x=2pi):} is continuous at x=2pi , then the value of lambda is equal to

Let f(x)={{:((1-cosx)/((2pi-x)^(2)).(tan^(2)x)/(ln(1+4pi^(2)-4pix+x^(2))),":",xne2pi),(lambda,":",x=2pi):} is continuous at x=2pi , then the value of lambda is equal to

f(x)={(sin(cos x)-cos x)/((pi-2x)^(2)),x!=(pi)/(2);k,x=(pi)/(2) is continuous at x=(pi)/(2), then k is equal to 0 (b) (1)/(2)(c)1(d)-1

Let f(x)=(1-sin x)/((pi-2x)^(2))*(ln(sin x))/(ln(1+pi^(2)-4 pi x+4x^(2))),x!=(pi)/(2). The value of f((pi)/(2)) so that the function is continuous at x=(pi)/(2) is:

If the function f(x)={((sqrt(2+cosx)-1)/(pi-x)^2 ,; x != pi), (k, ; x = pi):} is continuous at x = 1, then k equals:

If f(x) = {{:((k cos x)/(pi - 2x), x ne pi//2),(1, x = pi//2):} , is a continous function at x = pi//2 , then the value of k is-

If f(x)={:{((cot x-cos x)/((pi-2x)^(3))", for " x != (pi)/(2)),(k ", for " x = pi/2):} is continuous at x= pi/2 , where , then k=

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 54-MATHEMATICS
  1. If vecA=hati+hatj+hatk, vecB=4hati+3hatj+4hatk and vecC=hati+alpha hat...

    Text Solution

    |

  2. If y=log{log(2)(x)}, then (dy)/(dx)is

    Text Solution

    |

  3. The value of lim(x to 0)(1-cos^(3)x)/(sin x cos x) is

    Text Solution

    |

  4. If P=int(1)^(2)((sqrt(x^(2)+1)+x-1)/(sqrt(x^(2)+1)+x+1))dx and Q=int...

    Text Solution

    |

  5. If y=f(x) is passing through (1,2) satisfied the differential equation...

    Text Solution

    |

  6. The value of the integral int(secx)/(sinx+cosx)dx

    Text Solution

    |

  7. One of the sides of a triangle is divided into segments of 4 and 6 uni...

    Text Solution

    |

  8. The number of positive integral values of a for which there is no solu...

    Text Solution

    |

  9. The complete solution set for sin^(-1)(x)=3sin^(-1)(a) is

    Text Solution

    |

  10. Which one of the following is a tautology?

    Text Solution

    |

  11. In the expansion of 1/((1-x+x^(2))^(30), find the coefficien of x^(6) ...

    Text Solution

    |

  12. If M=((1,2),(2,3)) and M^(2)-lamdaM-I(2)=O then 2^(lamda) must be

    Text Solution

    |

  13. The number of five digit numbers that can be formed using all the dig...

    Text Solution

    |

  14. If the roots of the quadratic equation (4p-p^(2)-5)x^(2)-(2p-1)x+3p=0 ...

    Text Solution

    |

  15. If the line (x-1)/2=(y+1)/3=(z-1)/4 and (x-2)/1=(y-k)/2=z/1 are coplan...

    Text Solution

    |

  16. Let f(x)={:((1+cosx)/((pi-x)^(2)). (sin^(2)x)/(log(1+pi^(2)-2pix+x^(2)...

    Text Solution

    |

  17. The point nearest to the line x+y=7 and lying onan ellipse x^(2)+2y^(2...

    Text Solution

    |

  18. Let f(x)=min(x+1,sqrt(1-x)) for all xle1. Then thrice of area (in squ...

    Text Solution

    |

  19. The number of positive real roots of equation (x-1)(x-2)(x-3) +(x...

    Text Solution

    |

  20. Let a(1),a(2),a(3),……….a(10) be in AP and h(1),h(2),h(3),………..h(10) be...

    Text Solution

    |