Home
Class 12
MATHS
If f(x)={{:((x^(2)log(cosx))/(log(1+x^(2...

If `f(x)={{:((x^(2)log(cosx))/(log(1+x^(2))),x ne 0),(0,x = 0):}`, then f is

A

discontinuous at zero

B

continuous but not differentiable at zero

C

differentiable at zero

D

not continuous and not differentiable at zero

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2017

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos
  • TS EAMCET 2018 (7 MAY SHIFT 1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

Similar Questions

Explore conceptually related problems

f (x) = (e^(1//x^(2)))/(e^(1//x^(2))-1) , x ne 0, f (0) = 1 then f at x = 0 is

If f(x) = {{:(|x| cos ""((1)/(x)) + 9x^(2) " , " x ne 0 ),( k " , " x= 0):} then f is continuous if the value of 'k' is

If f: R to R" is defined by f(x)"={{:(,(cos 3x-cosx)/(x^(2)),"for "x ne 0),(,lambda,"for "x=0):} and if f is continuous at x=0, then lambda=

Determine if f defined by f(x)={{:(x^(2)sin""(1)/(x)," if "x ne 0),(0," if "x= 0):} is a continuous function?

lim_(x to 0)(xe^(x)-log(1+x))/(x^(2))=

f(x) = ( x^(2))/(|x|) , x ne 0 f (0) = 0 at x = 0 , f is

If f(x)={{:((sin[x])/([x]),at[x]ne0),(0,at[x]=0):} then Lt_(x to theta)f(x)=

The function f(x)=(sqrt(1+x^(2))-sqrt(1-x^(2))/(x^(2))"for "x ne 0, f(0) =1 at x=0 is

f (x) = ((e^(kx)-1)(sin kx))/(4x^(2)) , x ne 0, f(0) = 9 , is continuous at x = 0 , then k =

If f(x)=(e^(1//x)-1)/(e^(1//x)+1)" for "x ne 0, f(0)=0" then at x=0, f(x) is"

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2018 (4 MAY SHIFT 1)-Mathematics
  1. If the plane passing through the points (1, 2, 3), (2, 3, 1) and (3, 1...

    Text Solution

    |

  2. underset(x to -oo)lim(3|x|-x)/(|x|-2x)-underset(xto0)lim(log(1+x^(3)))...

    Text Solution

    |

  3. If f(x)={{:((x-2)/(|x-2|)+a,x lt 2),(a+b,x=2),((x-2)/(|x-2|)+b,x gt 2)...

    Text Solution

    |

  4. If f(x)={{:((x^(2)log(cosx))/(log(1+x^(2))),x ne 0),(0,x = 0):}, then ...

    Text Solution

    |

  5. Match the items given in List-I with those of the items of List - II ...

    Text Solution

    |

  6. If y=((sin^(-1)x)^(2))/(2), then (1-x^(2))y(2)-xy(1)=

    Text Solution

    |

  7. If the relative errors in the base radius and the height of a cone are...

    Text Solution

    |

  8. The normal at a point theta to the curve x=a(1+cos theta),y=a sin thet...

    Text Solution

    |

  9. Let f(x) be continuous on [0, 6] and differentiable on (0, 6). Let f(0...

    Text Solution

    |

  10. If (alpha,beta) and (gamma,delta) where alpha lt gamma, are the turnin...

    Text Solution

    |

  11. The height of a cylinder of the greatest volume that can be inscribed ...

    Text Solution

    |

  12. int(dx)/((e^(x)+e^(-x))^(2))=

    Text Solution

    |

  13. int(0)^(pi//2)(dx)/(1+(tanx)^(sqrt(2018)))=

    Text Solution

    |

  14. If int(x)/((x^(2)+1)(x-1))dx=A log|x^(2)+1|+B tan^(-1)x+C log|x-1|+d, ...

    Text Solution

    |

  15. int(0)^(pi//2)(cos^(3)x)/(sinx+cosx)dx=

    Text Solution

    |

  16. int(0)^(3)(2+x^(2))dx=

    Text Solution

    |

  17. The area enclosed (in square units) by the curve y=x^(4)-x^(2), the X-...

    Text Solution

    |

  18. The differential equation corresponding to the family of circles havin...

    Text Solution

    |

  19. The general solution of the differential equation (x^(2)+xy)y'=y^(2) i...

    Text Solution

    |

  20. At any point on a curve, the slope of the tangent is equal to the sum ...

    Text Solution

    |