Home
Class 12
MATHS
("lim")(xvec0)((1+5x^2)/(1+3x^2))^1//x^2...

`("lim")_(xvec0)((1+5x^2)/(1+3x^2))^1//x^2=____`

Promotional Banner

Topper's Solved these Questions

  • Limit, Indetermine Form

    A DAS GUPTA|Exercise Exercise|64 Videos

  • Inverse Circular Functions

    A DAS GUPTA|Exercise Exercise|45 Videos

  • Main Tests

    A DAS GUPTA|Exercise Exercise|8 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr0)((1+5x^(2))/(1+3x^(2)))^(1/x^(2))=

Evaluate lim_(xto0)((1+5x^(2))/(1+3x^(2)))^(1//x^(2))

lim_( x to 0) ((1+5x^(2))/(1+3x^(2)))^(1//x^(2)) = … .

lim_(x rarr0)((5x^(2)+1)/(3x^(2)+1))^(1/x^(2))

lim_(x rarr0)((1+5x)/(1+3x^(2)))^((1)/(x^(2)))

lim_(x->0) (x^2-3x+1)/(x-1)

lim_(x rarr0)((1+x)^(5)-1)/(3x+5x^(2))

A DAS GUPTA-Limit, Indetermine Form-Exercise
  1. lim(x-gtoo){(x+6)/(x+1)}^(x+4)

    Text Solution

    |

  2. Fill in the blanks: lim(n rarr oo) ((3x-4)/(3x+2))^((x+1)/3) .

    Text Solution

    |

  3. ("lim")(xvec0)((1+5x^2)/(1+3x^2))^1//x^2=

    Text Solution

    |

  4. Fill in the blanks: lim(x rarr oo) ((x^2+1)/(x^2-1))^(x^2)=

    Text Solution

    |

  5. Lim(x->0) {x(1+acosx)-bsinx}/x^3=1 then

    Text Solution

    |

  6. If f'(2)=2, f''(2) =1, then lim(xto2)(2x^2-4f'(x))/(x-2), is

    Text Solution

    |

  7. If f(9)=9 , f'(9)= 4 then lim (x rarr9) (sqrt f(x) -3)/(sqrt(x)-3) =.

    Text Solution

    |

  8. If G(x)=-sqrt(25-x^2),t h e n("lim")(xvec1)(G(x)-G(1))/(x-1)i s 1/(24...

    Text Solution

    |

  9. If f(a) =2, f'(a)=1, g(a) =-1 , g' (a)=2, then the value of lim(xto a)...

    Text Solution

    |

  10. If lim(x rarr a)(px+q)/(qx+p)=l and lim(x rarr0)(px+q)/(qx+p)=m where ...

    Text Solution

    |

  11. If f(x)=sqrt((x-sinx)/(x+cos^2x)), then lim (x->oo)f(x) is

    Text Solution

    |

  12. lim(x->0)(x e^x-log(1+x))/(x^2) equals

    Text Solution

    |

  13. Lim(x->0) {x(1+acosx)-bsinx}/x^3=1 then

    Text Solution

    |

  14. Let f(x) be a twice-differentiable function and f"(0)=2. The evaluate:...

    Text Solution

    |

  15. lim (x rarr pi/2) (2x-pi)/cos x is equal to

    Text Solution

    |

  16. evaluate lim(thetararrpi/4)(sqrt2-costheta-sintheta)/(4theta-pi)^2

    Text Solution

    |

  17. If f(x)=cot^(-1) ((3x-x^3)/(1-3x^2)) and g(x)=cos^(-1)((1-x^2)/(1+x^2)...

    Text Solution

    |

  18. 23. The value of lim(h->0)(1/(h(8+h)^(1/3)) - 1/(2h)) equals

    Text Solution

    |

  19. Evaluate: ("lim")(hvec0)(2[sqrt(3)sin(pi/6+h)-cos(pi/6+h)])/(sqrt(3)h(...

    Text Solution

    |

  20. lim(x->0)(sqrt((1-cos2x)/2))/x

    Text Solution

    |