Home
Class 11
MATHS
f(x)=("lim")(n->oo)x/(x^(2n)+1)dotT h...

`f(x)=("lim")_(n->oo)x/(x^(2n)+1)dotT h e n ,` A. `f(1^+)+f(1^(-1))=0` B. `f(1^+)+f(1^-)+f(1)=3/2` C. `f(-1^+)+f(-1^-)=-1` D. `f(1^+)+f(-1^-)=0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

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

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If f(x)=|(log)_e x| , then (a) f'(1^+)=1 (b) f^'(1^(-))=-1 (c) f'(1)=1 (d) f'(1)=-1

If f(x)=lim_(n->oo)[2x+4x^3+6x^5++2n x^(2n-1)] (0ltxlt1) then int f(x)dx is equal to:

Given f(x)=4x^8 , then (a) f'(1/2)=f'(-1/2) (b) f(1/2)=-f'(-1/2) (c) f'(-1/2)=-f'(1/2) (d) f(1/2)=f'(-1/2)

If f(x)=lim_(ntooo) n(x^(1//n)-1)," then for "xgt0, ygt0,f(xy) is equal to

If f(x)=(sin^(-1)x)/(sqrt(1-x^2)),t h e n(1-x^2)f^(x)-xy(x)= 1 (b) -1 (c) 0 (d) none of these

If f(x)=(sin^(-1)x)/(sqrt(1-x^2)),t h e n(1-x^2)f^(x)-xf(x)= (a)1 (b) -1 (c) 0 (d) none of these

If f(x)=lim_(n->oo)n(x^(1/n)-1),then for x >0,y >0,f(x y) is equal to : (a) f(x)f(y) (b) f(x)+f(y) (c) f(x)-f(y) (d) none of these

The domain of f(x) is (0,1)dot Then the domain of (f(e^x)+f(1n|x|) is a. (-1, e) (b) (1, e) (c) (-e ,-1) (d) (-e ,1)

f(1)=1, n ge 1 f(n+1)=2f(n)+1 then f(n)=

The domain of f(x)i s(0,1)dot Then the domain of (f(e^x)+f(1n|x|) is (a)(-1, e) (b). (1, e) (c).(-e ,-1) (d) (-e ,1)

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. L=(lim)(x->a)(|2sinx-1|)/(2sinx-1)dotT h e n limit does not exis...

    Text Solution

    |

  2. If [x] denotes the greatest integer less than or equal to x , then eva...

    Text Solution

    |

  3. f(x)=("lim")(n->oo)x/(x^(2n)+1)dotT h e n , A. f(1^+)+f(1^(-1))...

    Text Solution

    |

  4. Evaluate the limit: lim(x->1)((2x-3)(sqrt(x)-1))/(2x^2)

    Text Solution

    |

  5. ("lim")(x->oo)sum(x=1)^(20)cos^(2n)(x-10) is equal to (a) 0 (b) 1 (...

    Text Solution

    |

  6. lim(x->1) (1+sin((3pix)/(1+x^2)))/(1+cospix) is (a) 0 (b) 1 ...

    Text Solution

    |

  7. f(x)=(1n(x^2+e^x))/(1n(x^4+e^(2x)))dotT h e n lim(x->oo)f(x) is equal...

    Text Solution

    |

  8. ("lim")(n vec oo)"{"(n/(n+1))^(alpha)+sin (1/n)]^n(when alpha in Q) i...

    Text Solution

    |

  9. The value of underset(xto2)lim(2^(x)+2^(3-x)-6)/(sqrt(2^(-x))-2^(1-x))...

    Text Solution

    |

  10. If lim(n->oo)(n*3^n)/(n(x-2)^n +n*3^(n+1)-3^n) = 1/3 then the range of...

    Text Solution

    |

  11. If ("lim")(x->a)[f(x)g(x)] exists, then both ("lim")(x->a)f(x)a n d("l...

    Text Solution

    |

  12. If f(x)=lim(n->oo)n(x^(1/n)-1),then for x >0,y...

    Text Solution

    |

  13. lim(n->oo)((n^2-n+1)/(n^2-n-1))^(n(n-1)) is

    Text Solution

    |

  14. ("lim")(x->1)[cos e c(pix)/2]^(1/((1-x))) (w h e r e [dot] represents ...

    Text Solution

    |

  15. Given ("lim")(xvec0)(f(x))/(x^2)=2, \where\ [dot] denotes the greatest...

    Text Solution

    |

  16. Let f(x)=(x^2-9x+20)/(x-[x]) (where [x] is the greatest integer not gr...

    Text Solution

    |

  17. Use formula lim(x->0)(a^x-1)/x=log(a) to find lim(x->0)(2^x-1)/((1+x)^...

    Text Solution

    |

  18. Find ("lim")(xvec0){tan(pi/4+x)}^(1//x)

    Text Solution

    |

  19. f(x) is the integral of (2sinx-sin2x)/(x^3),x!=0. Find lim(x->0)f^...

    Text Solution

    |

  20. Evaluate underset (h to 0) lim ((a+h)^(2) sin (a+h) -a^(2) sin a)/h .

    Text Solution

    |