Home
Class 12
MATHS
If L=+(lim)(x->1)((2x-3)(sqrt(x)-1))/(2x...

If `L=+(lim)_(x->1)((2x-3)(sqrt(x)-1))/(2x^2+x-3),\ t h e n\ 20\ L=`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    BANSAL|Exercise All Questions|376 Videos
  • INTEGRALS

    BANSAL|Exercise All Questions|111 Videos

Similar Questions

Explore conceptually related problems

Each question contains statements given in two columns which have to be matched. Statements a,b,c,d in column I have to be matched with statements p,q,r,s in column II. If the correct match are a-p, a-s, b-r, c-p, c-q, and d-s, then the correctly bubbled 4 x 4 matrix should be as follows: fig Column I, Column II If L=""("lim")_(xvec1)((7-x)3-2)/((x+1)),t h e n12 L= , p. -2 If L=""("lim")_(xvecpi/4)(tan^3x-tanx)/(cos(x+pi/4)),t h e n-L/4= , q. 2 If L=""("lim")_(xvec1)((2x-3)(sqrt(x)-1))/(2x^2+x-3),t h e n20 L= , r. 1 If L=""("lim")_(xvecoo)(logx^n-[x])/([x]),w h e r en in N ,([x] denotes greatest integer less than or equal to x),t h e n-2L= , s. -1

lim_(x rarr1)((3x-4)(sqrt(x)-1))/(2x^(2)+x-3)

Evaluate lim_(xto1) ((2x-3)(sqrt(x)-1))/(2x^(2)+x-3).

3) lim_(x rarr1)((2x)sqrt(x+1))/(2x^(2)+x+1)

Evaluate: lim_(xrarr1) ((2x-3)(sqrt(x)-1))/(2x^(2)+x-3)

lim_ (x rarr1) ((2x-3) (sqrt (x) -1)) / (2x ^ (2) + x-3)

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

lim_(x-> -1) (sqrt(x^2+8)-3)/(x+1)

lim_ (x rarr1) ((2x-3) (sqrt (x) -1)) / (2x ^ (2) + x-3) =

lim_ (x rarr1) ((2x-1) (sqrt (x) -1)) / (2x ^ (2) + x-3)

BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Which of the following statement(s) is (are) INCORRECT ?. (A) If lim...

    Text Solution

    |

  2. Each question contains statements given in two columns which have to b...

    Text Solution

    |

  3. If L=+(lim)(x->1)((2x-3)(sqrt(x)-1))/(2x^2+x-3),\ t h e n\ 20\ L=

    Text Solution

    |

  4. If L=(lim)(x->oo)(logx^n-[x])/([x]),\ w h e r e\ n in N ,\ t h e n-2L...

    Text Solution

    |

  5. (lim)(x->0)([100(sin x)/x]+[100(tanx)/x])=

    Text Solution

    |

  6. (lim)(x->0)([100 x/(sin\ x)]+[100(tanx)/x])=

    Text Solution

    |

  7. (lim)(x->0)([100(sin^(-1)\ x)/x]+[100(tan^(-1)x)/x])=

    Text Solution

    |

  8. (lim)(x->0)([100 x/(sin^(-1)x)]+[100(tan^(-1)x)/x])=

    Text Solution

    |

  9. lim(x -> oo) (sqrt(x^2 - x - 1) - ax - b) = 0 where a > 0, then there ...

    Text Solution

    |

  10. If lim(x->oo)((1+a^3)+8e^(1/ x))/(1+(1-b^3)e^(1/ x))=2, then there exi...

    Text Solution

    |

  11. If (lim)(x->oo)(sqrt((x^4-x^2+1))-a x^2-b)=0 , then there exists at ...

    Text Solution

    |

  12. If lim(x->-a) (x^7+a^7)/(x+a)=7, where a lt 0 then ,there exists at ...

    Text Solution

    |

  13. (lim)(x->\ oo)(x/(1+x))^x equals

    Text Solution

    |

  14. (lim)(x->\ oo)(sin1/x+cos1/x)^x equals

    Text Solution

    |

  15. (lim)(x->\ 0)(cosx)^(cot2x) equals

    Text Solution

    |

  16. Evaluate the following limit: (lim)(x->pi/4)(1-t a n x)/(x-pi/4)

    Text Solution

    |

  17. f:R to R is defined as f(x)= {{:(x^(2)+kx+3",",,"for "xge0),(2kx+3",",...

    Text Solution

    |

  18. If (lim)(x->2)(f(x-9))/(x-2)=3 then (lim)(x->2)f(x), is

    Text Solution

    |

  19. If (lim)(x->oo)(7^(k x)+8)/(7^(5x)+6) does not exist then' k ' c...

    Text Solution

    |

  20. L i m i t\ l=(lim)(x->oo)(pi/2-t a n^-1\ x)/(ln(1-1/x)) equals

    Text Solution

    |