Home
Class 12
MATHS
Consider lim(x->0)(a x+b e^(-x)+sinx+1)/...

Consider `lim_(x->0)(a x+b e^(-x)+sinx+1)/(a x-bsinx)=l`(l is finite) then

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Consider lim (ax+be^(-x)+sin x+1)/(ax-b sin x)=l(1 is finite) then

lim_(x to 0) (e^x-e^sinx)/(x-sinx)

lim_(x rarr 0) (e^x+e^-x-2 cosx)/(x sinx)

Evaluate : lim_( x -> 0 ) ( e^x - 1 )/ sinx

Evaluate : lim_( x -> 0 ) ( x - tan^(-1 ) x ) / ( x - sinx )

If lim_(xrarr0)(2ax+(a-1)sinx)/(tan^3x)=l ,then a+l is equal to

Evaluate lim_(xto0) (e^(x)-e^(xcosx))/(x+sinx).

lim_(x rarr 0)(e^x-e^sinx)/(2(x-sinx))=

RESONANCE DPP-JEE MAINS-All Questions
  1. If m1 and m2 are the roots of the equation x^2-a x-a-1=0 , then the ar...

    Text Solution

    |

  2. The sides of a rhombus are parallel to the lines x+y-1=0 and 7x-y-5=0...

    Text Solution

    |

  3. Consider lim(x->0)(a x+b e^(-x)+sinx+1)/(a x-bsinx)=l(l is finite) the...

    Text Solution

    |

  4. Let C be a circle with two diameters intersecting at an angle of 30^0d...

    Text Solution

    |

  5. The roots of the equation x^(5)-40x^(4)+ax^

    Text Solution

    |

  6. The equatio of a circel touching the coordinate axes and the line 3x -...

    Text Solution

    |

  7. Let f(x)=x^(3)+ax^(2)+bx+c be the given cubic polynomial and f(x)=0 be...

    Text Solution

    |

  8. |(2x-1)/(x-1)|>2

    Text Solution

    |

  9. If f(x)a n dg(x) are continuous functions in [a , b] and are different...

    Text Solution

    |

  10. |x-1|+|x-2|+|x-3|geq6

    Text Solution

    |

  11. If sum(r=1)^n r(r+1)(2r+3)=a n^4+b n^3+c n^2+d n+e , then a-b=d-c ...

    Text Solution

    |

  12. For a family circles passing through the points A(3,7)B(6,5) which o...

    Text Solution

    |

  13. If sn=(1-4/1)(1-4/9)(1-4/25)......(1-4/((2n-1)^2)), where n in N, th...

    Text Solution

    |

  14. If {.} represents fractional part function and {x}+{-x}=x^2+x-6 , then...

    Text Solution

    |

  15. If there are three square matrix A, B, C of same order satisfying the...

    Text Solution

    |

  16. The quadratic equation, a (x -b)(x-c) + b (x-c)(x-a) + c (x-a) (x-b)=0...

    Text Solution

    |

  17. Let g(x) be the inverse of an invertible function f(x), which is dif...

    Text Solution

    |

  18. The product of all values of t , for which the system of equations (a-...

    Text Solution

    |

  19. The Fibonacci sequence is defined by 1=a1=a2 and an=a(n-1)+a(n-2,)n > ...

    Text Solution

    |

  20. Let A and B are square matrices of same order satisfying A B=A ,a n dB...

    Text Solution

    |