Home
Class 11
MATHS
The value of (lim)(x->(3pi)/4)(1+t a n x...

The value of `(lim)_(x->(3pi)/4)(1+t a n x1/3)/(1-2cos^2x)` is (a)`-1//2` (b.) `-2//3` (c). `-3//2` (d).`-1//3`

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

Evaluate: (lim)_(x->(3pi)/4)(1+(tanx)^(1/3))/(1-2cos^2x)

The value of lim_(xrarr(3pi)/(4)) (1+root3(tanx))/(1-2cos^(2)x) is

The value of ("lim")_(x->pi)(1+cos^3x)/(sin^2x)i s 1/3 (b) 2/3 (c) -1/4 (d) 3/2

The value of underset(xrarr(3pi)/(4))(lim)(1+root3(tanx))/(1-2cos^(2)x) is

The value of (lim)_(x->pi//2)(s e c x-t a n x) is a. 1 b . 0 c. 2 d. -1

The value of lim_(x->1)(1-sqrt(x))/((cos^(-1)x)^2) is 4 (b) 1/2 (c) 2 (d) 1/4

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->1) (1+sin((3pix)/(1+x^2)))/(1+cospix) is (a) 0 (b) 1 (c) 2 (d) 3

The value of ("lim")_(xvec2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1/(8sqrt(3)) (b) 1/(4sqrt(3)) (c) 0 (d) none of these

lim_(x-pi/2) (cot x - cosx)/(pi-2x)^3 equals: (1) 1/8 (2) 1/4 (3) 1/24 (4) 1/16

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If (lim)(xvec0)(a e^x+bcos x+c e^(-x))/(e^(2x)-2e^x+1)=4,t h e n a.a=...

    Text Solution

    |

  2. If underset(xrarroo)(lim)xlog(e)(|(alpha//x,1,gamma),(0,1//x,beta),(1,...

    Text Solution

    |

  3. The value of (lim)(x->(3pi)/4)(1+t a n x1/3)/(1-2cos^2x) is (a)-1//2 (...

    Text Solution

    |

  4. Let f : R rarr R be a differentiable function at x = 0 satisfying f(0)...

    Text Solution

    |

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

    Text Solution

    |

  6. (lim)(xvec0^+)1/(xsqrt(x))("a t a n"^(-1)(sqrt(x))/a-btan^(-1)(sqrt(x)...

    Text Solution

    |

  7. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |