Home
Class 12
MATHS
If lim (x to 0) (ae ^(x) - b cos x + ce ...

If `lim _(x to 0) (ae ^(x) - b cos x + ce ^(-x))/(x sin x) = 2,` then ` a + b + c` is equal to `"__________"`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS SECTION A|40 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS SECTION B|20 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION A)|60 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

If Lim_(x to 0)(ae^(x)-bln(1+x)+ce^(-x))/(x sin x)=2 then value of a+b+c is

यदि lim_(xrarr0)(ae^x-b cos x + ce^(-x))/(xsinx )=2 ,तब a+b+c=

lim_(xto0)(ae^(2x)-bcosx+c)/(xsinx)=1 then a+b+c is equal to .__________

If lim_(xrarroo)(ae^(x)+b cos x+c +dx)/(xsin^(2)x)=3, then the value of 272(abd)/(c^(3)) is equal to

If lim_(x rarr0)(a sin x+b cos x+ce^(x))/(x^(2))=2, then

Let lim_(x to 0) ("sin" 2X)/(x) = a and lim_(x to 0) (3x)/(tan x) = b , then a + b equals

lim_ (x rarr0) (ae ^ (x) + 3e ^ (2x) -b) / (x) = 8

If lim_(x->0) (a + b sin x-cosx + ce^x)/x^3 exists, then the value of a + b + c is

If lim_(x->0) (a + b sin x-cosx + ce^x)/x^3 exists, then the value of a + b + c is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-MATHEMATICS (SECTION B)
  1. Let P = [{:( - 30, 20, 56), ( 90, 140, 112), ( 120, 60, 14):}] and A =...

    Text Solution

    |

  2. If the normal to the curve y (x) = int (0) ^(2) (2 t ^(2) - 15 t + 10)...

    Text Solution

    |

  3. If lim (x to 0) (ae ^(x) - b cos x + ce ^(-x))/(x sin x) = 2, then a ...

    Text Solution

    |

  4. If [.] represents the greatest integer function, then the value of |in...

    Text Solution

    |

  5. The maximum value of z in the following equation z = 6xy + y^(2) , whe...

    Text Solution

    |

  6. The minimum distance between any two points P(1) and P(2) while consid...

    Text Solution

    |

  7. If A = [{:(2,3),(0,-1):}], then the value of det (A^(4)) | det ( A^(10...

    Text Solution

    |

  8. If the function f(x) = ( cos ( sin x ) - cos x )/( x^(4)) is continuo...

    Text Solution

    |

  9. If f(x) = sin ( cos ^(-1) ( ( 1- 2 ^(2x))/( 1+ 2^(2x)))) and its fist...

    Text Solution

    |

  10. If the eqution of the plane passing through the line of intersection o...

    Text Solution

    |

  11. If ( 2021)^(3762) is divided by 17, then the remainder is "".

    Text Solution

    |

  12. If vec(a) = alpha hat(i) + beta hat(j)+ 3 hat(k), vec(b) = - beta ha...

    Text Solution

    |

  13. Of the three independent event E(1),E(2) and E(3), the probability tha...

    Text Solution

    |

  14. Let P be a plane containing the line (x-1)/3=(y+6)/4=(z+5)/2 and paral...

    Text Solution

    |

  15. If underset(r=1)overset(10)sum r! (r^(3)+6r^(2)+2r+5)=alpha (11!), the...

    Text Solution

    |

  16. Let the miror image of the point (1,3,a) with respect to the plane vec...

    Text Solution

    |

  17. Let y=y(x) be the solution of the differential equation xdy-ydx =sqrt(...

    Text Solution

    |

  18. Let P(x) be a real polynomial of degree 3 which vanishes at x=-3. Let ...

    Text Solution

    |

  19. Let I be an identity matrix of order 2 xx 2 and P=[{:(,2,-1),(,5,-3):}...

    Text Solution

    |

  20. The term independent of x in the expansion of [(x+1)/(x^(2/3)-x^(1/3)+...

    Text Solution

    |