Home
Class 12
MATHS
If f(x)=(tan(pi/4+(log)e x))^((log)x e) ...

If `f(x)=(tan(pi/4+(log)_e x))^((log)_x e)` is to be made continuous at `x=1,` then what is the value of `f(1)?`

A

`e^(2)`

B

e

C

`1//e`

D

`e^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TIPS

    FIITJEE|Exercise OBJECTIVE|84 Videos

  • TIPS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • TIPS

    FIITJEE|Exercise NUERICAL DECIMAL BASED QUATIONS|20 Videos

  • TEST PAPERS

    FIITJEE|Exercise MATHEMATICS|328 Videos

  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

For the function f(x) = (log_(e )(1+x)-log_(e )(1-x))/(x) to be continuous at x = 0, the value of f(0) should be

For the function f(x)=(log_(e)(1+x)+log_(e)(1-x))/(x) to be continuous at x = 0, the value of f(0) is

If f(x)=(log)_(e)((log)_(e)x), then write the value of f'(e)

If f(x) = {((log_(e )x)/(x-1), ",", x != 1),(k, ",", x = 1):} is continuous at x = 1, then the value of k is

let f(x)=(ln cos x)/((1+x^(2))^((1)/(4))-1) if x>0 and f(x)=(e^(sin4x)-1)/(ln(1+tan2x)) if x<0 Is it possible to difine f(0) to make the function continuous at x=0. If yes what is.the value of f(0), if not then indicate the nature of discontinuity.

The function f(x)=((3^(x)-1)^(2))/(sin x*ln(1+x)),x!=0, is continuous at x=0, Then the value of f(0) is

If f(x)=log_(e)(log_(e)x)/log_(e)x then f'(x) at x = e is

If the f(x) =(log(1+ax)-log(1-bx))/x , xne0 is continuous at x = 0 then, f(0) = .....

Let f(x)=(e^(tan x)-e^(x)+ln(sec x+tan x)-x)/(tan x-x) be a continuous function at x=0. The value f(0) equals

FIITJEE-TIPS-ASSIGNMENT (SECTION (I): MCQ (SINGLE CORRECT)
  1. If f(x)=lim(n-&gt;oo)[2x+4x^3+6x^5++2n x^(2n-1)] (0ltxlt1) then int f(...

    Text Solution

    |

  2. The integer n for which the lim(x to 0)(cos^(2)x-cosx-e^(x)cosx+e^(x...

    Text Solution

    |

  3. If f(x)=(tan(pi/4+(log)e x))^((log)x e) is to be made continuous at x=...

    Text Solution

    |

  4. Let g(x) = (x-1)^n/(log(cos^m(x-1))) ; 0 lt x lt 2 ,m and n and let p ...

    Text Solution

    |

  5. If f is twice differentiable such that f"(x)=-f(x) f'(x)=g(x),h'(x)=...

    Text Solution

    |

  6. lim(x->0) (tan^2[x])/([x]^2), where [] represents greatest integer fun...

    Text Solution

    |

  7. lim(xrarr1^(+))(log(sqrt2)sqrt2x)^(1/({x})) where [ ] represents great...

    Text Solution

    |

  8. The value of lim(xto(pi)/4)(4sqrt(2)-(cosx+sinx)^(5))/(1-sin2x) is

    Text Solution

    |

  9. lim(xrarrpi)([sinx]+x) is

    Text Solution

    |

  10. The slope of the tangent of the curve y=int0^x (dx)/(1+x^3) at the poi...

    Text Solution

    |

  11. The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the...

    Text Solution

    |

  12. The difference between the greatest and the least values of the functi...

    Text Solution

    |

  13. Let f''(x) gt 0 AA x in R and g(x)=f(2-x)+f(4+x). Then g(x) is increas...

    Text Solution

    |

  14. If f(1)(x)=2x, f(2)x(=3 sin x-x cos x, for x in (0, (pi)/(2))

    Text Solution

    |

  15. Let f(x)=x^3+kx^2+5x+4sin^2x be an increasing function on x in R. Th...

    Text Solution

    |

  16. Let g'(x)gt 0 and f'(x) lt 0 AA x in R, then

    Text Solution

    |

  17. If x1 and x2 are abscissae of two points on the curve f(x) = x - x^2 i...

    Text Solution

    |

  18. f(x)={ax^2+bx+c, |x| > 1 x+1, |x| <= 1. If f(x) is continuous for all ...

    Text Solution

    |

  19. Function g(x)=int- 3^xsint(1/2-cost)dt where 0 < x < 2pi, has

    Text Solution

    |

  20. int(dx)/((x+3)^(8//7)(x-2)^(6//7)) is equal to

    Text Solution

    |