Home
Class 12
MATHS
Let f(x)=(tan[e^2]x^2-tan[-e^2]x^2)/(sin...

Let `f(x)=(tan[e^2]x^2-tan[-e^2]x^2)/(sin^2x), x!=0` then the value of `f(0)` so that `f` is a continuous function is

A

15

B

0

C

7

D

8

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Exercise (Numerical Answer)|16 Videos

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Questions for Previous Years AIEEE/JEE Main Papers|44 Videos

  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Exercise (Level 1 Single Correct Answer)|39 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)=(tan[e^(2)]x^(2)-tan[-e^(2)]x^(2))/(sin^(2)x),x!=0 then the value of f(0) so that f is a continuous function is

If f(x) = ((a+x)^(2)sin(a+x)-a^(2)sin a)/(x) , x !=0 , then the value of f(0) so that f is continuous at x = 0 is

Let f(x)=(1-cos x sqrt(cos 2x))/x^2 , x ne 0 The value of f(0) so that f is a continuous function is

Let f(x)=(log (1+x+x^2)+log(1-x+x^2))/(sec x-cosx) , x ne 0 .Then the value of f(0) so that f is continuous at x=0 is

Let f(x)={(e^(ax)-e^(x)-x)/(x^(2)),x!=0 and (3)/(2),x=0 The value of a so that f is continuous function is

Let f(x)={{:((e^(alphax)-e^x)/x^2, x ne 0),(3//2,x=0):} The value of alpha so that f is a continuous function is

if f(x)=x^2sin(1/x) , x!=0 then the value of the function f at x=0 so that the function is continuous at x=0

The function f(x)=(sin 2x)^(tan^(2)2x) is not defined at x=(pi)/(4) . The value of f(pi//4) , so that f is continuous at x=pi//4 , is

MCGROW HILL PUBLICATION-LIMITS AND CONTINUITY-Exercise (Level 2 Single Correct Answer)
  1. The value of lim(x-> -4) (tanpix)/(x+4) + lim(x->oo)(1+1/x^2)^x is

    Text Solution

    |

  2. The value of lim(x to 0) ("sinx"/x)^("sin x"/"x-sinx") is

    Text Solution

    |

  3. The value of lim(x->0)((sinx-tanx)^2-(1-cos2x)^4+x^5)/(7(tan^(- 1)x)^7...

    Text Solution

    |

  4. Let f(x)=x-1 and g(x)=1/x. Then the set of points where gofog is conti...

    Text Solution

    |

  5. Let f(x)=lim( n to oo) ([x^2]+[(2x)^2]+... + [(nx)^2])/n^3 then the se...

    Text Solution

    |

  6. If : f(x){:( =1", ... x is rational"),(=0", ...x is irr...

    Text Solution

    |

  7. Let f(x) be given that f(x)={{:(,x,"if x is rational"),(,1-x,"if x is ...

    Text Solution

    |

  8. Let f:R to R be any function. Defining g: R to R by g(x)=|f(x)|" for "...

    Text Solution

    |

  9. Let f be a function defined on R by f(x)=lim(n to oo) (log (3+x)-x^(2n...

    Text Solution

    |

  10. If f(x)=((x^2+5x+3)/(x^2+x+2))^x then lim(xtooo)f(x) is equal to

    Text Solution

    |

  11. Let f(x) be defined for all > x0 and be continuous. Let f(x) satisfies...

    Text Solution

    |

  12. Given the function f(x)=1/(1-x), the numbers of discontinuities of f^...

    Text Solution

    |

  13. If f(x)=(1+sinx-cosx)/(1-sinx-cosx), x ne 0 . The value of f(0) so tha...

    Text Solution

    |

  14. If f(x)={(ax+1",", x le (pi)/(2)),(sinx+b",", x gt (pi)/(2)):} is cont...

    Text Solution

    |

  15. If f(x)={((x^(3)+x^(2)-16x+20)/((x-2)^(2))",",x ne 2),(k",", x =2):} ...

    Text Solution

    |

  16. f(x) ={{:((2^(x+2)-16)/(4^(x)-16), if x ne 2 ),(k, if x = 2):} ,x = 2.

    Text Solution

    |

  17. If the function f(x) = (cos^(2)x - sin^(2)x-1)/(sqrt(x^(2)+1)-1), x !=...

    Text Solution

    |

  18. If a and b are positive integers then

    Text Solution

    |

  19. Let f(x)=(tan[e^2]x^2-tan[-e^2]x^2)/(sin^2x), x!=0 then the value of f...

    Text Solution

    |

  20. The value of f(0) so that the function f(x)= (cos a x - cos bx)/x^2 ,...

    Text Solution

    |