Home
Class 12
MATHS
Consider f (x) = x ^(ln x), and g (x) = ...

Consider `f (x) = x ^(ln x), and g (x) = e ^(2) x.` Let `alpha and beta` be two values of x satisfying `f (x) = g(x)( alpha lt beta)`
`lim _(x to beta) (f (x) -beta^(2))/(g (x) - beta ^(2))=l` then the value of x -l equals to:

A

`4-e ^(2)`

B

`e %(2)-4`

C

`4-e`

D

`e-4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|3 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|22 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VK JAISWAL ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|35 Videos

  • COMPOUND ANGLES

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|31 Videos

  • DETERMINANTS

    VK JAISWAL ENGLISH|Exercise EXERCISE-4 : SUBJECTIVE TYPE PROBLEMS|12 Videos

Similar Questions

Explore conceptually related problems

Consider f (x) = x ^(ln x), and g (x) = e ^(2) x. Let alpha and beta be two values of x satisfying f (x) = g(x)( alpha lt beta) lim _(x to beta) (f (x) -c beta)/(g (x) - beta ^(2))=l then the value of x -l equals to:

Consider f (x) = x ^(ln x), and g (x) = e ^(2) x. Let alpha and beta be two values of x satisfying f (x) = g(x)( alpha lt beta) If h (x) = (f (x))/(g (x)) then h'(alpha) equals to:

If alpha and beta are the roots of the equation x^2+4x + 1=0(alpha > beta) then find the value of 1/(alpha)^2 + 1/(beta)^2

If alpha , beta are the roots of x^2 +x+1=0 then alpha beta + beta alpha =

If alpha and beta are roots of equation (log_(3)x)^(2)-4(log_(3)x)+2=0 then The value of alpha beta is

Let alpha (x) = f(x) -f (2x) and beta (x) =f (x) -f (4x) and alpha '(1) =5 alpha'(2) =7 then find the vlaue of beta'(1)-10

The value of lim_(x to 0) ("sin" alpha X - "sin" beta x)/(e^(alphax) - e^(beta x)) equals

If alpha and beta are zeroes of x^(2)-5x+6 , then find the value of alpha^(2)+beta^(2) .

If f (x) = 27x^(3) -(1)/(x^(3)) and alpha, beta are roots of 3x - (1)/(x) = 2 then

if f(x)=(sin (x+alpha)/(sin(x+beta))),alpha ne beta then f(x) has

VK JAISWAL ENGLISH-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (COMPREHENSION TYPE PROBLEMS)
  1. Consider a function f (x) in [0,2pi] defined as : f(x)=[{:([sinx]+ ...

    Text Solution

    |

  2. Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]=...

    Text Solution

    |

  3. Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]=...

    Text Solution

    |

  4. Let f (x)= {{:(x [x] , 0 le x lt 2),( (x-1), 2 le x le 3):} where [x]=...

    Text Solution

    |

  5. Let f :R to R be a continous and differentiable function such that f (...

    Text Solution

    |

  6. Let f :R to R be a continous and differentiable function such that f (...

    Text Solution

    |

  7. Let f :R to R be a continous and differentiable function such that f (...

    Text Solution

    |

  8. f(x)=(cos^2x)/(1+cosx+cos^2x) and g(x)=ktanx+(1-k)sinx-x, where k in R...

    Text Solution

    |

  9. Let f (x) (cos ^(2) x)/(1+ cos +cos ^(2)x )and g (x) lamda tan x+1(1-l...

    Text Solution

    |

  10. Let f and g be two differentiable functins such that: f (x)=g '(1) s...

    Text Solution

    |

  11. Let f and g be two differentiable functins such that: f (x)=g '(1) s...

    Text Solution

    |

  12. Let f and g be two differentiable functins such that: f (x)=g '(1) s...

    Text Solution

    |

  13. Suppose a function f(x) satisfies the following conditions f (x+y) =...

    Text Solution

    |

  14. Suppose a function f(x) satisfies the following conditions f (x+y) =...

    Text Solution

    |

  15. Let f (x) be a polynomial satisfying lim (x to oo) (x ^(4) f (x))/( x ...

    Text Solution

    |

  16. Let f (x) be a polynomial satisfying lim (x to oo) (x ^(4) f (x))/( x ...

    Text Solution

    |

  17. Consider f (x) = x ^(ln x), and g (x) = e ^(2) x. Let alpha and beta b...

    Text Solution

    |

  18. Consider f (x) = x ^(ln x), and g (x) = e ^(2) x. Let alpha and beta b...

    Text Solution

    |

  19. Let f (n) x+ f (n) (y ) = (x ^(n)+y ^(n))/(x ^(n) y ^(n))AA x, y in R-...

    Text Solution

    |

  20. Let f (n) x+ f (n) (y ) = (x ^(n)+y ^(n))/(x ^(n) y ^(n))AA x, y in R-...

    Text Solution

    |