Home
Class 11
MATHS
lim(xrarr0)((1-cos2)(3+cos x))/(xtan 4x)...

`lim_(xrarr0)((1-cos2)(3+cos x))/(xtan 4x)` is equal to

A

44198

B

1

C

2

D

`-1/4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

underset(xto0)lim((1-cos2x)(3+cosx))/(xtan4x) is equal to

underset(x to 0)lim((1-cos2x)(3+cosx))/(xtan4x) is equal to-

lim_(xrarr0)[(In cosx)/((1+x^2)^(1/4)-1))] is equal to

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

If underset(xrarr0)"lim" (1-cos4x)/(1-cos6x)=(4)/(K) then K is equal to -

If lim_(xrarr0)(2asinx-sin2x)/tan^3x exists and is equal to 1, then thee value of a is

Let f(x) be a polynomial of degree four having extreme values at x=1 and x=2. lim_(xrarr0)[1+f(x)/x^2]=3 ,then f(2) is equal to:

The value of lim_(xrarr0)(int_0^(x^2) cos(t^2)dt)/(xsinx) is

Evlauate lim_(xrarr0)(cot2x-cosec2x)/x

PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. let f(x)={( int0^x|1-t|dt, xgt1),(x-1/2, xle1):} then

    Text Solution

    |

  2. The number of points in (-infty,infty) , for which x^3-xsin x-cos x =0...

    Text Solution

    |

  3. lim(xrarr0)((1-cos2)(3+cos x))/(xtan 4x) is equal to

    Text Solution

    |

  4. The limit of xsin (e^(1//x)) as xrarr0

    Text Solution

    |

  5. Let f(x)={f(x={(x^3-3x+2, xlt2),(x^3-6x^2+9x+2, xge2):} Then

    Text Solution

    |

  6. The limit of sum(n=1)^1000(-1)^n x^n as xrarrinfty

    Text Solution

    |

  7. The limit of [1/x^2+(2013)^x/(e^x-1)-1/(e^x-1)] as xrarr0

    Text Solution

    |

  8. The limit of {1/xsqrt(1+x)-sqrt(1+1/x^2} as xrarr0

    Text Solution

    |

  9. If lim(xrarrinfty)((x^2+x+1)/(x+1)-ax-b)=4 ,then

    Text Solution

    |

  10. Let f(x)={(x^2|cos"pi/x|, x ne0),(0, x=0):}, x in R, then f is

    Text Solution

    |

  11. Let alpha(a) and beta(b) be the roots of the equation , (root(3)(1+a)...

    Text Solution

    |

  12. For every integer n, let an and bn be real numbers Let function f : R ...

    Text Solution

    |

  13. If f: R rarr R is a function defined by f(x)=[x]cos((2x-1)/2)pi, where...

    Text Solution

    |

  14. Consider the function f(x) = |x-2|+|x-5|, Statement 1: f'(4)=0 State...

    Text Solution

    |

  15. Let R rarr R be a function such that f(x+y) = f(x)+f(y) AA x, y in R. ...

    Text Solution

    |

  16. If lim(x rarr 0)[1+x ln(1+b^2)]^(1/x)=2b sin^2 theta, b gt 0 "and" the...

    Text Solution

    |

  17. If f(x)={(-x-pi/2, x le -pi/2),(-cosx, -pi/2ltxle0),(x-1, 0ltcle1),(ln...

    Text Solution

    |

  18. lim(x rarr 2)(sqrt(1-cos{2(x-2)})/(x-2)) =?

    Text Solution

    |

  19. The value of p and q for which the function f(x)={((sin(p+1)x+sinx)/...

    Text Solution

    |

  20. The value of lim(x rarr 1) (x+x^2+...+x^n-n)/(x-1) is

    Text Solution

    |