Home
Class 11
MATHS
The value of lim(x->0)(sqrt(1/2(1-cos2x)...

The value of `lim_(x->0)(sqrt(1/2(1-cos2x)))/x` `i s`

(a)1

(b)`-1`

(c) 0

(d) none of these

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

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

The value of lim_(x->0)(1+sinx-cosx+"log"(1-x))/(x^3) is (a) 1/2 (b) -1/2 (c) 0 (d) none of these

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

The value of lim_(x to 0)(1-cos x)/(x^(2))

The value of lim_(xrarr0)(1-cos(x/3))/x^2'

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

The value of lim_(xrarr0)(1-cos4x)/x^2 is

The value of lim_(xrarr0)(1-cos4x)/x^2 is

If f(a)=2,f^(prime)(a)=1,g(a)=-1,g^(prime)(a)=2, then the value of lim_(x->a)(g(x)f(a)-g(a)f(x))/(x-a) is (a) -5 (b) 1/5 (c) 5 (d) none of these

The value of lim_(x->0)(sqrt(1-cos"x"^2))/(1-cosx) is a. 1/2 b. 2 c. sqrt(2) d. none of these

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. lim(x->1)sqrt(1-cos2(x-1))/(x-1) a. exists and its equals sqrt(2) ...

    Text Solution

    |

  2. lim(x->0)sin^2(pi/(2-p x))^(sec^2((pi/(2-px)))

    Text Solution

    |

  3. The value of lim(x->0)(sqrt(1/2(1-cos2x)))/x i s (a)1 (b)-1 ...

    Text Solution

    |

  4. Evaluate: lim(x->7/2)(2x^2-9x+8)^(cot(2x-7))

    Text Solution

    |

  5. If f(x)={:(sin[x]","" ""for "[x]ne0),(0","" ""for "[x]=0):}where [x...

    Text Solution

    |

  6. Let f(a)=g(a)=k and their n t h derivatives exist and are not equal fo...

    Text Solution

    |

  7. If f(x)={(x^nsin(1/(x^2)),x!=0), (0,x=0):}, (n in I), then (a) lim(...

    Text Solution

    |

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

    Text Solution

    |

  9. The value of lim(x to1)(p/(1-x^p)-q/(1-x^q)),p ,q , in N , equal (a)(...

    Text Solution

    |

  10. Evaluate : lim(x->0)(log)(tan^2x)(tan^2 2x)dot

    Text Solution

    |

  11. lim(x->0)(sin(x^2))/(1n(cos(2x^2-x))) is equal to (a) 2 (b) -2 ...

    Text Solution

    |

  12. If the graph of the function y=f(x) has a unique tangent at the point ...

    Text Solution

    |

  13. underset(xto-1)lim(1)/(sqrt(|x|-{-x})) (where {x} denotes the fraction...

    Text Solution

    |

  14. Evaluate: lim(x->0)x^m(logx)^n ,m , n in Ndot

    Text Solution

    |

  15. Let f(x)=("lim")(nvecoo)1/((3/pitan^(-1)2x)^(2n)+5)dot Then the set of...

    Text Solution

    |

  16. Evaluate (lim(x->oo))(x(log)e{(sin(a+1/x))/(sina)}), 0 lt a lt pi/2

    Text Solution

    |

  17. lim(x->0) {(1+x)^(2/x)} (where {.} denotes the fractional part of x ...

    Text Solution

    |

  18. Evaluate: lim(x->0)(2^x-1)/((1+x)^(1/2)-1)

    Text Solution

    |

  19. If f(n+1)=1/2{f(n)+9/(f(n))},n in N , and f(n)>0 for all n in...

    Text Solution

    |

  20. Evaluate underset(xto1)lim(a^(x-1)-1)/(sinpix).

    Text Solution

    |