Home
Class 12
MATHS
Discuss the continuity of f(x)=(lim)(n->...

Discuss the continuity of `f(x)=(lim)_(n->oo)(x^(2n)-1)/(x^(2n)+1)`

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|102 Videos

  • COORDINATE SYSTEM

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|2 Videos

Similar Questions

Explore conceptually related problems

Discuss the continuity of f(x)=("lim")_(n->oo)cos^(2n)xdot

Let f(x)=lim_(ntooo) (x)/(x^(2n)+1). Then f has

Find the values of a if f(x)=("lim")_(n rarr oo)(a x^(2n)+2)/(x^(2n)+a+1) is continuous at x=1.

Discuss the continuity of the function, f(x)=lim_(nrarrinfty)(log(2+x)-x^(2n)sinx)/(1+x^(2n)) at x=1

Discuss the continuity of f(x) where f(x)=lim_(nrarrinfty)("sin" (pix)/2)^(2n)

If f(x)=(x+1)/(x-1)a n dg(x)=1/(x-2),t h e n discuss the continuity of f(x),g(x),a n dfog(x)dot

lim_(n->oo)((n^2-n+1)/(n^2-n-1))^(n(n-1)) is

A function f: RvecR is defined as f(x)=(lim)_(nvecoo)(a x^2+b x+c+e^(n x))/(1+c.e^(n x)) is continuous on R then find the values of a,b,c.

Let for all xgt0,f(x)=lim_(nto oo)n(x^((1)/(n))-1) , then

The value of ("lim")_(n->oo)[(n+1)^2 3-(n-1)^2 3] is_____

CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
  1. Find the values of a if f(x)=("lim")(n rarr oo)(a x^(2n)+2)/(x^(2n)+a...

    Text Solution

    |

  2. If f(x)={(ln x).sgn({x-1/2});1 < x le 3 and {x^2};3 < x le 3.5. Find t...

    Text Solution

    |

  3. Discuss the continuity of f(x)=(lim)(n->oo)(x^(2n)-1)/(x^(2n)+1)

    Text Solution

    |

  4. If f(x)=sgn(2sinx+a) is continuous for all x , then find the possible ...

    Text Solution

    |

  5. Discuss the continuity of f(x)=|x|sgn(x^3-x)

    Text Solution

    |

  6. Discuss the continuity of f(x)=sgn(2cosx-1)

    Text Solution

    |

  7. Discuss the continuity of f(x)=sgn(x^2-2x+3)

    Text Solution

    |

  8. Discuss the continuity of f(x)={(x{x}+1 ,, 0lt=x<1),(2-{x} ,, 1lt=x<2)...

    Text Solution

    |

  9. Discuss the continuity of f(x)=sgn(x^3-x)

    Text Solution

    |

  10. Show that the function f(x)=(x-a)^2(x-b)^2+x takes the value (a+b)/2 f...

    Text Solution

    |

  11. Prove that f(x)=(x^3)/4-sinpix+3 takes the value of 7/3 for x in [-2,2...

    Text Solution

    |

  12. Suppose f is a continuous map from R to R and f(f(a))=a for some adot ...

    Text Solution

    |

  13. Let f:[0,1] rarr [0,1] be a continuous function. Then prove that f(x)...

    Text Solution

    |

  14. Discuss the differentiability of f(x)={( x sin(ln x^2),x!=0),( 0,x=0):...

    Text Solution

    |

  15. Discuss the differentiability of f(x)={((sinx^2)/x ,x!=0), (0,x=0):} a...

    Text Solution

    |

  16. If f is an even function such that lim(hrarr0)(f(h)-f(0))/h has some f...

    Text Solution

    |

  17. Using intermediate value theorem, prove that there exists a number x s...

    Text Solution

    |

  18. Is the function is non-differential at x=0? f(x)="x"|"x"|

    Text Solution

    |

  19. Is the function is non-differential at x=0? f(x)="cos"|x|

    Text Solution

    |

  20. f(x)={([sinpix] ,, 0lt=x<1),(sgn(x-5/4)x{x-2/3} ,, 1lt=xlt=2):} where...

    Text Solution

    |