Home
Class 12
MATHS
Evaluate of the following limit: (lim...

Evaluate of the following limit: `(lim)_(x->0)(e^x-e^(-x)-2x)/(x^3)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following limit: (lim)_(x->0)(e^(3x)-e^(2x))/x

Evaluate the following limit: (lim)_(x->0)(e^(x+2)-e^2)/x

Evaluate the following limit: (lim)_(x->0)(e^x-x-1)/x^(2)

Evaluate the following limit: (lim)_(x->5)(e^x-e^5)/(x-5)

Evaluate the following limit: (lim)_(x->0)(e^(sinx)-1)/x

Evaluate the following limit: (lim)_(x->0)(e^(tanx)-1)/x

Evaluate the following limit: (lim)_(x->0)(a^x-a^(-x))/x

Evaluate the following limit: (lim)_(x->0)(sin2x)/(e^x-1)

Evaluate the following limit: (lim)_(x->0)(e^x-1+sin x)/x

Evaluate the following limit: (lim)_(x->0)((a+x)^2-a^2)/x

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If vec axx( vec bxx vec c) is perpendicular to ( vec axx vec b)xx vec...

    Text Solution

    |

  2. The value of sum(i-1)^nsum(j=1)^isum(k=1)^j1=220 , then the value of n...

    Text Solution

    |

  3. Evaluate of the following limit: (lim)(x->0)(e^x-e^(-x)-2x)/(x^3)

    Text Solution

    |

  4. If int(-1)^(4)f(x)dx=4 and int(2)^(4)(3-f(x))dx=7, then find the value...

    Text Solution

    |

  5. The value of 'p' for which the sum of the square of the roots of 2x^...

    Text Solution

    |

  6. In a "Delta"A B C , let a ,b , and c denote the length of sides opp...

    Text Solution

    |

  7. The area bounded by the parabolas y=(x+1)^2 and y=(x-1)^2a n dy=(x-1)^...

    Text Solution

    |

  8. Let A +2B=[[1, 2, 0],[ 6,-3, 3],[-5, 3, 1] ] and 2A-B=[[2,-1, 5 ],[2,-...

    Text Solution

    |

  9. Let matrix A=[(1, 2, 3), (0, 5, 4), (0, 3, 2)] and A^3 -8A^2 + alphaA ...

    Text Solution

    |

  10. Let R be the real line. Consider the following subsets of the plane ...

    Text Solution

    |

  11. Let f(x)=sinx ,g(x)=cosx , then which of the following statement is ...

    Text Solution

    |

  12. Let omega ne 1 be a complex cube root of unity. If ( 4 + ...

    Text Solution

    |

  13. Let U" "=" "{1," "2," "3," "4," "5," "6," "7," "8," "9," "10} and A" "...

    Text Solution

    |

  14. A curve y = (x) which passes through (4,0) satisfy the differential ...

    Text Solution

    |

  15. The coefficient of x^3 in the expansion of (1+2x+3x^2)^(10) is - (1)...

    Text Solution

    |

  16. if f(x) is differentiable function such that f(1) = sin 1, f (2)= sin ...

    Text Solution

    |

  17. Domain of the function f(x)=sqrt(2-sec^(-1)x) is

    Text Solution

    |

  18. If the 7th tern in the binomial expansion of (3/((84)^(1/3)) +sqrt(3) ...

    Text Solution

    |

  19. Normals are drawn from the point P with slopes m(1),m(2)andm(3) to tha...

    Text Solution

    |

  20. If (b+c-a)/a ,(c+a-b)/b ,(a+b-c)/c , are in A.P., prove that 1/a ,1/b ...

    Text Solution

    |