Home
Class 11
MATHS
The value of (lim)(x->0)(e^(x^2)-e^x+x)/...

The value of `(lim)_(x->0)(e^(x^2)-e^x+x)/(1-cos2x)` is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

find lim_(x->0) (e^(x+3)-e^3)/x

The value of lim_(xrarr0)(e^(x)-cos2x-x)/(x^2) , is

The value of lim_(x to 0) (e^x-e^sinx)/(2(x-sinx)) , is

The value of (lim)_(x->oo)(e^sqrt(x^(4+1))-e^(x^(2+1))) is (a) 0 b. e c. 1//e d. -oo

Evaluate : lim_(xto0) (e^(x) -e^(-x))/x

Evaluate : lim_(x to 0) (e^(x) -e^(x))/x

Evaluate lim_(xto0) (e^(x)-e^(-x)-2x)/(x-sinx).

The value of lim_(x->0)((1+2x)/(1+3x))^(1/x^2)e^(1/x) is e^(5/2) b. e^2 c. e^(-2) d. 1

lim_(x->0)(x(e^x-1))/(1-cosx) is equal to

The value of lim_(xrarr0) (e^x-(x+x))/(x^2) ,is

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. (lim)(xvec0^+)1/(xsqrt(x))("a t a n"^(-1)(sqrt(x))/a-btan^(-1)(sqrt(x)...

    Text Solution

    |

  2. If f^(prime)(a)=1/4, t h e n(lim)(hvec0)(f(a+2h^2)-f(a-2h^2))/(f(a+h^3...

    Text Solution

    |

  3. The value of (lim)(x->0)(e^(x^2)-e^x+x)/(1-cos2x) is

    Text Solution

    |

  4. Evalaute underset(xto1)lim(1+logx-x)/(1-2x+x^(2))

    Text Solution

    |

  5. The value of (lim)(xvec1)(x ^(1/13)-x^(1/7))/((x^(1/5) - x^(1/3)) is ...

    Text Solution

    |

  6. Number of integral values of lambda for which (lim)(x to 1)sec^(-1)((l...

    Text Solution

    |

  7. If f(x)={x/(s in x),x >0 2-x ,xlt=0 and g(x)={x+3,x<1x^2-2x-2,1lt=x<2x...

    Text Solution

    |

  8. If k in I sucht that (lim)(xvecoo)("cos"(kpi)/4)^(2n)-(cos-(kpi)/6)^(...

    Text Solution

    |

  9. underset(xrarroo)(lim)(sum(r=1)^(10)(x+r)^(2010))/((x^(1006)+1)(2x^(10...

    Text Solution

    |

  10. If underset(xrarr0)(lim)(f(x))/(x^(2))=aand underset(xrarr0)(lim)(f(1-...

    Text Solution

    |

  11. The value of (lim)(xvecpi//4)(tan^3x-t a n x)/(cos(x+pi/4)) is 8 b. 4 ...

    Text Solution

    |

  12. (lim)(xvecpi/2)((1-sin x)(8x^3-pi^3)cos x)/((pi-2x)^4) a.(pi^2)/6 b...

    Text Solution

    |

  13. The value of lim(x->pi/4) (sqrt(1-sqrt(sin2x)))/(pi-4x) is

    Text Solution

    |

  14. The value of (lim)(x->oo)(e^sqrt(x^(4+1))-e^(x^(2+1))) is (a) 0 b. e c...

    Text Solution

    |

  15. If an and bn are positive integers and an+sqrt(2)bn=(2+sqrt(2))^n ,t h...

    Text Solution

    |

  16. Iff(x)={x+1/2, x&lt;0 2x+3/4,x &gt;=0 , then [(lim)(x-&gt;0)f(x)]= (...

    Text Solution

    |

  17. (lim)(X-> (-7)([x]^2+15[x]+56)/("sin"(x+7)"sin"(x+8))= (where [.] deno...

    Text Solution

    |

  18. Let L1=(lim)(x^vec4)(x-6)^x and L2=(lim)(x^vec4)(x-6)^4dot Which of t...

    Text Solution

    |

  19. If f:R->R is defined by f(x)=[x−3]+|x−4| for x in R, then lim(x->3) f(...

    Text Solution

    |

  20. If [dot] denotes the greatest integer function, then (lim)(xvec0)x/a...

    Text Solution

    |