Home
Class 12
MATHS
Which of the following is and determinat...

Which of the following is and determinate form `(lim)_(xvec1)(x^3-1)/(x-1)` b. `(lim)_(xvec0)(1+x)^(1//x)` c. `(lim)_(xvec1)(1/(x^2-1)-1/(x-1))` d. `(lim)_(xvec0)(|x|)^(s in R)`

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 : ("lim")_(xvec1)(2/(1-x^2)+1/(x-1))

Which of the following limits tends to unity? (a) ("lim")_(xvec0)sin(tanx)/(sinx) (b) ("lim")_(xvecpi/2)sin(cosx)/(cosx) (c) ("lim")_(xvec0)"sin"(e^x-1)/x (d) ("lim")_(xvec0)(sqrt(1+x)-sqrt(1-x))/x

Evaluate: ("lim")_(xvec0)(x2^x-x)/(1-cosx)

Find ("lim")_(xvec0){tan(pi/4+x)}^(1//x)

Evaluate: ("lim")_(xvec-2^+) (x^2-1)/(2x+4)

Evaluate: ("lim")_(xvec0)(2^x-1)/(sqrt(1+x)-1)

If f(x)=(3x^2+a x+a+1)/(x^2+x-2), then which of the following can be correct (a) ("lim")_(xvec 1)f(x) for a=-2 (b) ("lim")_(xvec-2)f(x) for a=13 (c) ("lim")_(xvec 1)f(x)=4/3 (d) ("lim")_(xvec-2)f(x)=-1/3

Evaluate ("lim")_(xvec2)(x^(10)-1024)/(x^5-32)

If f(x)=(3x^2+a x+a+1)/(x^2+x-2), then which of the following can be correct ("lim")_(xvec1)f(x)e xi s t s a=-2 ("lim")_(xvec-2)f(x)e xi s t s a=13 ("lim")_(xvec1)f(x)=4/3 ("lim")_(xvec-2)f(x)=-1/3

Evaluate: ("lim")_(xvec2)(x-2)/((log)_a(x-1))

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Find the following: lim(xrarroo)(x^2-3x+2)/(x^3+3x)

    Text Solution

    |

  2. If in a Delta ABC , cos a cos B +- sin A sin B sin C = 1, then show th...

    Text Solution

    |

  3. Which of the following is and determinate form (lim)(xvec1)(x^3-1)/(x-...

    Text Solution

    |

  4. Evaluate the following: lim(xrarr1)(x^3-1)/(x^2-6x+5)

    Text Solution

    |

  5. Evaluate the following: lim(xto1/3)(3x^2+5x-2)/(9x^2-1)

    Text Solution

    |

  6. If varphi(x)=int(1/x)^(sqrt(x))sin(t^2)dt then varphi^(prime)(1)= a....

    Text Solution

    |

  7. In Figure D\ a n d\ E are two points on B C such that B D=D E=E Cdo...

    Text Solution

    |

  8. An ordinary cubical dice having six faces marked with alphabets A, ...

    Text Solution

    |

  9. If f(x)=e^(g(x)) and g(x)=int(2)^(x)(tdt)/(1+t^(4)), the find the valu...

    Text Solution

    |

  10. Three equal circles each of radius r touch one another. The radius of ...

    Text Solution

    |

  11. Let V be the vertex and L be the latusrectum of the parabola x^2=2y+4x...

    Text Solution

    |

  12. If I(m,n)=int0^1 t^m(1+t)^n.dt, then the expression for I(m,n) in term...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. lim(xto oo) (int(0)^(x)(tan^(-1)t)^2dt)/(sqrt(x^(2)+1)) has the value ...

    Text Solution

    |

  15. If in a triangle r1=r2+r3+r , prove that the triangle is right angled.

    Text Solution

    |

  16. The determinant of the matrix A=|(1,1,1),(1,omega,omega^2),(1,omega^2,...

    Text Solution

    |

  17. The number of odd divisor of the number N=2^(10). 3^5 .7^2, are a....

    Text Solution

    |

  18. The equation |x+1|^(log)(("x"+1))(3+2-x^(2))=(x-3)|x| has a. unique s...

    Text Solution

    |

  19. Let f : R to R be a differentiable function and f(1) = 4. Then, the va...

    Text Solution

    |

  20. In a A B C ,A : B : C=3:5: 4. Then a+b+csqrt(2) is equal to a.2b b. 2...

    Text Solution

    |