Home
Class 11
MATHS
Let f(x)=("lim")(nvecoo)1/((3/pitan^(-1)...

Let `f(x)=("lim")_(nvecoo)1/((3/pitan^(-1)2x)^(2n)+5)dot` Then the set of values of `x` for which `f(x)=0` is (a)`|2x|>sqrt(3)` (b) `|2x|

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

Let f(x)=lim_(ntooo) (1)/(((3)/(pi)tan^(-1)2x)^(2n)+5) . Then the set of values of x for which f(x)=0 is

Let ("lim")_(xvec1)(x^a-a x+a-1)/((x-1)^2)=f(a)dot Then the value of f(4) is _________

If L=("lim")_(nvecoo)(2x3^2x2^3x3^4 x2^(n-1)x3^n)^1/((n^(2+1)) , then the value of L^4 is

Let f(x)=lim_(nto oo) 1/n((x+1/n)^(2)+(x+2/n)^(2)+……….+(x+(n-1)/n)^(2)) Then the minimum value of f(x) is

If f(x)=(lim)_(nvecoo)(cos(x/(sqrt(n))))^n , then the value of (lim)(xvec0)(f(x)-1)/x is 0 b. 1 c. 2 d. 3//2

Let f(x)={{:(3x^2-2x+10, x lt 1),(-2,x gt 1):} The set of values of b for which f(x) has greatest value at x=1 is

"Let "f(x) ={underset(-2x + log_(2) (b^(2)-2), x gt1)(x^(3) -x^(2) +10 x-5 , x le 1). The set of values of b for which f(x) has greatest value at x= 1 is given by .

Let f (x) =(x^(2) +x-1)/(x ^(2) - x+1), then the largest value of f (x) AA x in [-1, 3] is:

Let f(x) =(kcosx)/(pi-2x) if x!=pi/2 and f(x)=3 if x=pi/2 then find the value of k if lim_(x->pi/2) f(x)=f(pi/2)

"Let "f(x)=((2^(x)+2^(-x))sin x sqrt(tan^(-1)(x^(2)-x+1)))/((7x^(2)+3x+1)^(3)) . Then find the value of f'(0).

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. lim(x->-1)1/(sqrt(|x|-{-x}))(w h e r e{x} denotes the fractional...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Evaluate: ("lim")(xvec0)(2^x-1)/(sqrt(1+x)-1)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Find ("lim")(xvecoo)(5x+2cosx)/(3x+14) using sandwitch theorem

    Text Solution

    |

  10. Evaluate: [("lim")(xto0)(tanx)/x] where [dot] represents the greatest...

    Text Solution

    |

  11. If lim(n->oo)1/((sin^(-1)x)^("n")+1)=1 ,t h e n find the value of x.

    Text Solution

    |

  12. Evaluate: ("lim")(xvec0)(tanx)/x where [dot] represents the greatest ...

    Text Solution

    |

  13. Evaluate underset(xto0)lim(e^(x)-e^(xcosx))/(x+sinx).

    Text Solution

    |

  14. Evaluate: ("lim")(xvec2)(x-2)/((log)a(x-1))

    Text Solution

    |

  15. Evaluate: lim(n->0)(e^(sinx)-(1+sinx))/({tan^(-1)(sinx)}^2)

    Text Solution

    |

  16. Evaluate: ("lim")(x->a)(logx-loga)/(x-a)

    Text Solution

    |

  17. Evaluate: (lim)(x->(3pi)/4)(1+(tanx)^(1/3))/(1-2cos^2x)

    Text Solution

    |

  18. Evaluate: "lim"(x->0)(10^x-2^x-5^x+1)/(xtanx)

    Text Solution

    |

  19. ("lim")(xvec1)((x^4+x^2+x+1)/(x^2-x+1))^(1-"cos"(x+1))/((x+1)^(2))i se...

    Text Solution

    |

  20. Evaluate: "lim"(x->0)(3^(2x)-2^(3x))/x

    Text Solution

    |