Home
Class 12
MATHS
Show that the underset(xto2)lim((sqrt(1-...

Show that the `underset(xto2)lim((sqrt(1-cos{2(x-2)}))/(x-2))` doesnot exist.

A

`sqrt(2)`

B

`-sqrt(2)`

C

`1/(sqrt(2))`

D

Does not exist

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

Show that the lim_(xto2) ((sqrt(1-cos{2(x-2)}))/(x-2)) doesnot exist.

lim_(xto1)(sqrt(1-cos2(x-1)))/(x-1) ,

Show that lim_(x to 2)(|x-2|)/(x-2) does not exist.

Show that lim_(xrarr2) ([x-2])/(x-2) does not exist.

Evaluate underset(x to -oo)lim(sqrt(x^(2)+3x+1))/(2x+4)

Show that Lim_( xto 2) (|x-2|)/(x-2) does not exist .

Evaluate underset(xto1)"lim"(x^(4)-sqrt(x))/(sqrt(x)-1) .

Evaluate underset(xto3)"lim"((x^(2)-9))/((x-3))

underset(xto pi//2)lim(sin(xcosx))/(cos(xsinx)) is equal to

Show that, lim_(xto4) (|x-4|)/(x-4) , does not exist

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-JEE main (Archive)
  1. If f : R rarr R is a function defined by f(x) = [x] cos ((2x -1)/(2))p...

    Text Solution

    |

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

    Text Solution

    |

  3. Show that the underset(xto2)lim((sqrt(1-cos{2(x-2)}))/(x-2)) doesnot e...

    Text Solution

    |

  4. (d^2 x)/(dy^2) is equal to :

    Text Solution

    |

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

    Text Solution

    |

  6. If f(x) is differentiable at x=a , find (lim)(x->a)(x^2f(a)-a^2\ f(x))...

    Text Solution

    |

  7. Define f(x) as the product of two real functions f(1)(x)=x, x epsilon ...

    Text Solution

    |

  8. Let f:""(-1,""1) rarr R be a differentiable function with f(0)""=""-...

    Text Solution

    |

  9. Let f :RtoR be a positive, increasing function with underset(xtooo)l...

    Text Solution

    |

  10. Let y be an implicit function of x defined by x^(2x)-2x^(x) cot y-1=0...

    Text Solution

    |

  11. Let f(x)""=""x|x|""and""g(x)""=""sinx in x Statement 1 : gof is d...

    Text Solution

    |

  12. Let f(x)={(x-1)sin1/(x-1)if\ x!=1 0,\ if\ x=1 . Then which one of th...

    Text Solution

    |

  13. Show that f(x) =tan^(-1)(sinx+cosx) is an increasing function in (0,pi...

    Text Solution

    |

  14. Let f: R to R be a function defined byf(x)="min" {x+1,|x|+1}. Then, wh...

    Text Solution

    |

  15. If the function F : R \\{0} to R "given by "f(x) =(1)/(x)-(2) /(e^(...

    Text Solution

    |

  16. The set of points where f(x) = x/(1+ |x|) is differentiable is

    Text Solution

    |

  17. If x^m y^n=(x+y)^(m+n), prove that (dy)/(dx)=y/x .

    Text Solution

    |

  18. Suppose f (x) is differentiable at x=1 and lim (h to0) (f(1+h))/(h) =5...

    Text Solution

    |

  19. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

    Text Solution

    |

  20. If f is a real- valued differentiable function satisfying |f(x) - f(y)...

    Text Solution

    |