Home
Class 12
MATHS
Let f(x) = lim( n to oo) m ( sin x)^(2...

Let `f(x) = lim_( n to oo) m ( sin x)^(2n) ` then which of the following is not true?

A

continuous at `x=pi//2`

B

discotinuous at `x=pi//2`

C

discontinous at `x=-pi//2`

D

discontinuous at an infinite number of points.

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise LEVEL 2|103 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

If f (x) = lim _( n to oo) (n (x ^(1//n)-1)) for x gt 0, then which of the following is/are true?

Let f(x)=lim_(nto oo) (2x^(2n) sin (1)/(x)+x)/(1+x^(2n)) , then which of the following alternative(s) is/ are correct?

If phi(x)=lim_(n->oo)(x^(2n)(f(x)+g(x)))/(1+x^(2n)) then which of the following is correct

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

Let f(x)=lim_(n to oo) ((2 sin x)^(2n))/(3^(n)-(2 cos x)^(2n)), n in Z . Then

Let f(x)= lim_(n->oo)(sinx)^(2n)

Let f(x)=x+sqrt(x^2+2x) and g(x)=sqrt(x^2+2x-x) , then which of the following is/are true. a. lim_(x->oo)g(x)=1 b. lim_(x->oo)f(x)=1 c. lim_(x->oo)f(x)=-1 d. lim_(x->oo)g(x)=-1

Let f(x)=lim_(n->oo)(log(2+x)-x^(2n)sinx)/(1+x^(2n)) . then

A function is defined as f(x)=lim_(x->oo)[cos^(2n) x , if x 1 which of the following does not hold good?

Discuss continuity of function f(x)=1+ lim_(n to oo) cos^(2n) x. Draw the graph of the function and find the period of the function .

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL -1
  1. Let f(x)= {{:((x)/(1+|x|)",", |x| ge1), ((x)/(1-|x|)",", |x| lt 1):},...

    Text Solution

    |

  2. Let y=tan((pi)/4+x/2). Then (dy)/(dx) at x=(pi)/4

    Text Solution

    |

  3. Let f(x) = lim( n to oo) m ( sin x)^(2n) then which of the follow...

    Text Solution

    |

  4. If f is a periodic function then

    Text Solution

    |

  5. If f(x+y)=f(x)f(y) for all x and y and f(X)=1+g(x)G(x) where lim(xto 0...

    Text Solution

    |

  6. f(x)={|x+1|;xlt=0x ;x >0 and g(x)={|x|+1;xlt=1-|x-2|;x >1 Draw its g...

    Text Solution

    |

  7. (tanx)^(y)=(tany)^(x) find dy/dx

    Text Solution

    |

  8. If f(x+2)=(x+3)^(2)-2x, then f(x)=

    Text Solution

    |

  9. Solve : log4(log3(log2x))=0

    Text Solution

    |

  10. If x = a cos^(3) theta, y = a sin ^(3) theta then sqrt(1+((dy)/(dx))^(...

    Text Solution

    |

  11. If y =tan ^(-1)((x ^(1//3) -a^(1//3))/(1+x ^(1//3)a ^(1//3))), x gt 0,...

    Text Solution

    |

  12. If x^2+x y+y^2=7/4, then (dy)/(dx) at x=1 and y=1/2 is:

    Text Solution

    |

  13. Let y=sqrt(x+sqrt(x+sqrt(x+...oo)))," then "(dy)/(dx) is equal to

    Text Solution

    |

  14. If f' (x) = sin (log x) and y = f((2x+3)/(3- 2x)), " then " (dy)/(...

    Text Solution

    |

  15. If y=sin^(-1)(cos x)+cos^(-1)(sin x), prove that (dy)/(dx)=-2

    Text Solution

    |

  16. If x=sin theta and y=cos^(3) then 2y(d^(2)y)/(dx^(2))+4((dy)/(dx))^(2)...

    Text Solution

    |

  17. If u=3x^(12) and v=x^(6) then (du)/(dv) is

    Text Solution

    |

  18. If x=e^(-t^(2)), y=tan^(-1)(2t+1), then (dy)/(dx)=

    Text Solution

    |

  19. If x^y y^x=1 , prove that (dy)/(dx)=-(y(y+xlogy))/(x(ylogx+x))

    Text Solution

    |

  20. If x = t + (1)/(t) "and " y = t - (1)/(t) . "then" (dy)/(dx) is equa...

    Text Solution

    |