Home
Class 11
MATHS
(lim)(x->0)((sqrt(1+xsin x)-sqrt(cos2x))...

`(lim)_(x->0)((sqrt(1+xsin x)-sqrt(cos2x))/(tan^2(x//2)))` is equal to `1/6` b. `6` c.`3` d. `2`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos
  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

lim_(xrarr0)sqrt(1-cos2x)/(sqrt2x) is equal to

lim_(xto0) (sqrt(1-cos 2x))/(sqrt2x) is equal to-

lim_(x->0)(sin2xsin3x)/x^2

The value of lim_(xto0) (1-(cosx)sqrt(cos2x))/(x^(2)) is

lim_(xto oo) (int_(0)^(x)tan^(-1)t\ dt)/(sqrt(x^(2)+1)) is equal to

lim_(x->0)(sin(x^2))/(1n(cos(2x^2-x))) is equal to (a) 2 (b) -2 (c) 1 (d) -1

underset (xto0) lim(sqrt(1-x^2)-sqrt(1+x^2))/x^2

underset(x rarr 0)lim ((1-cos 2x) (3+cos x))/(x tan 4x) is equal to -

lim_(x->oo)[sqrt(x+sqrt(x+sqrt(x)))-sqrt(x)] is equal to (a)0 (b) 1/2 (c) log 2 (d) e^4

The value of lim _(x to (pi)/(6)) (3 sin x- sqrt3 cos x)/(6x -pi) is equal to-

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Let f(x) be the fourth degree polynomial such that f^(prime)(0)-6,f(0)...

    Text Solution

    |

  2. Let f(x) be the fourth degree polynomial such that f^(prime)(0)-6,f(0)...

    Text Solution

    |

  3. (lim)(x->0)((sqrt(1+xsin x)-sqrt(cos2x))/(tan^2(x//2))) is equal to 1/...

    Text Solution

    |

  4. The value of underset(xrarroo)(lim)x^(2)(1-cos.(1)/(x)) is

    Text Solution

    |

  5. lim(x->0) (Cosx -1)/x is equal to

    Text Solution

    |

  6. lim x→(2^+) { x } sin( x−2 ) /( x−2)^2 ...

    Text Solution

    |

  7. The value of lim(x->0)(sqrt(1-cos"x"^2))/(1-cosx) is a.1/2 b. 2 c. s...

    Text Solution

    |

  8. If f(x)=underset(nrarroo)(lim)((x^(2)+ax+1)+x^(2n)(2x^(2)+x+b))/(1+x^(...

    Text Solution

    |

  9. lim(x->0)(e^(5x) - 1)/(3x)

    Text Solution

    |

  10. lim(x->(pi/2)) (1-sinx)tanx =

    Text Solution

    |

  11. The value of lim(x->3)((x^3+27)(log)e(x-2))/(x^2-9) is a. 9 b. 18 c....

    Text Solution

    |

  12. If (lim)(xvec0)(e^(a x)-e^x-x)/(x^2)=b (finite), then a=2,b=0 b. a=0,b...

    Text Solution

    |

  13. If underset(xrarr0)(lim)(x^3)/(sqrt(a+x)(bx-sinx))=1,agt0, then a+b is...

    Text Solution

    |

  14. underset(xrarr0)(lim)[(sin^(-1)x)/(tan^(-1)x)]= (where [.] denotes the...

    Text Solution

    |

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

    Text Solution

    |

  16. lim(x->0) (sin x /x)

    Text Solution

    |

  17. If f(x)=x((e^(|x|+[x])-2)/(|x|+[x])) then (where [.] represents the gr...

    Text Solution

    |

  18. If A=underset(xrarr0)(lim)(sin^(-1)(sinx))/(cos^(-1)(cosx))and B=under...

    Text Solution

    |

  19. Let f(x)=lim(m->oo){lim(n->oo)cos^(2m)(n !pix)}, where x in Rdot Then...

    Text Solution

    |

  20. lim(x->oo ){(e^x+pi^x)^(1/x)}= where {.} denotes the fractional par...

    Text Solution

    |