Home
Class 12
MATHS
Let f(x)=lim(n to oo) sinx/(1+(2 sin x)^...

Let `f(x)=lim_(n to oo) sinx/(1+(2 sin x)^(2n))` then f is discontinuous at

A

`pi`

B

`pi//3`

C

`pi//4`

D

`pi//6`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Numberical Answer)|16 Videos
  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Exercise (Single Correct Answer)|10 Videos
  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Solved Examples Level 1 (Single Correct Answer)|52 Videos
  • JEE (MAIN) QUESTIONS WITH SOLUTIONS MATHEMATICS (7 TH JAN-MORNING )

    MCGROW HILL PUBLICATION|Exercise QUESTIONS|25 Videos
  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=lim_(n rarr oo)(sin x)^(2n)

The points where f(x)=lim_(x rarr oo)(sin(pi(x)/(2)))^(2)n is discontinuous are:

Let f(x)=lim_( n to oo) (x^(2n-1) + ax^2 +bx)/(x^(2n) +1) . If f is continuous for x in R , then the value of a+8b is

Let f(x)=lim_(ntooo) (x)/(x^(2n)+1). Then

Find the number of integers lying in the interval (0,4) where the function f(x)=lim_(n rarr oo)(cos(pi x)/(2))^(2n) is discontinuous

f(x)=lim_(n rarr oo)((x-1)^(2n)-1)/((x-1)^(2n)+1) is discontinuous at (A)x=0 only (B)x=2 only ( textrmC ) x=0 and 2(D) none of these

Let f(x)=lim_(n rarr oo)(log(2+x)-x^(2n)sin x)/(1+x^(2n)) then

MCGROW HILL PUBLICATION-LIMITS AND CONTINUITY-Solved Examples Level 2 (Single Correct Answer)
  1. f(x)={{:((3//x^2)sin2x^2,"if" x lt 0),((x^2+2x+c)/(1-3x^2), "if" x ge ...

    Text Solution

    |

  2. The function f(x)=(sin 2x)^(tan^(2)2x) is not defined at x=(pi)/(4). T...

    Text Solution

    |

  3. Let f(x)=(log (1+x+x^2)+log(1-x+x^2))/(sec x-cosx) , x ne 0 .Then the ...

    Text Solution

    |

  4. The value of k(k gt 0) for which the function f(x)=(e^x-1)^4/(sin(x^2/...

    Text Solution

    |

  5. The function f(x) = (log(1+ax)-log(1-bx))/(x) is not defined at x = 0....

    Text Solution

    |

  6. Let f(x)=log(1+x^2)/(x^4-26x^2+25Then 1)f is continuous on ([6,10](2) ...

    Text Solution

    |

  7. Let f(x)=(sin (pi cos^2 x))/x^2 , x ne 0 . The value of f(0) so that f...

    Text Solution

    |

  8. Let f(x)={{:((e^(alphax)-e^x)/x^2, x ne 0),(3//2,x=0):} The value of a...

    Text Solution

    |

  9. Let f be a continuous function on R such that f(1//2^n) =(sin e^n) e^...

    Text Solution

    |

  10. Let f(x)=lim(n to oo) sinx/(1+(2 sin x)^(2n)) then f is discontinuous ...

    Text Solution

    |

  11. Let f be a non-zero continuous function satisfying f(x+y)=f(x)f(y) for...

    Text Solution

    |

  12. Let f be a function on [0,1] defined by f(x)=(1//2)^n , (1//2)^(n+1) ...

    Text Solution

    |

  13. If f(x) is continuous at x=0, where f(x)={:{((sin (a+1)x+sin x)/(x)",...

    Text Solution

    |

  14. Let f(x)={(72^x -9^x- 8^x +1)/(sqrt2-sqrt(1+cosx)) ; x != 0 and k lo...

    Text Solution

    |

  15. Let f be a function defined on R by f(x)=[x] + sqrt(x-[x]) then

    Text Solution

    |

  16. The function f : R ~ {0} to R given by f(x)=(tan x-x)/(x-sinx) can be ...

    Text Solution

    |

  17. For x ne 1, f is defined by f(x)=1/(log x) - 1/(x-1) The value of f(1)...

    Text Solution

    |

  18. The number of points where f(x)={{:([cos pi x],"," 0 le x le 1),(|2x-...

    Text Solution

    |

  19. If f(x)={{:(x^2+Ax+5, x in Q),(1+x , x in R ~ Q):} is continuous at ...

    Text Solution

    |

  20. lim(x->1) (nx^(n+1)-nx^(n)+1)/((e^x-e^2)sinpix)

    Text Solution

    |