Home
Class 11
MATHS
If y=2^(-2^((1/(1-x))) , then find lim(...

If `y=2^(-2^((1/(1-x)))` , then find `lim_(x->1^+)y`

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(n)=lim_(xto0) {(1+"sin"(x)/(2))(1+"sin"(x)/(2^(2)))...(1+"sin"(x)/(2^(n)))}^((1)/(x)) then find lim_(ntooo) f(n).

If (x^2+x−2)/(x+3) -1) f(x) then find the value of lim_(x->-1) f(x)

If x=1 then find x+y=-2,y=?

If f(x+ y) = f(x) + f(y) for x, y in R and f(1) = 1 , then find the value of lim_(x->0)(2^(f(tan x)-2^f(sin x)))/(x^2*f(sin x))

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

Let cos^(-1) (4x^(3) -3x) = a + b cos^(-1) x If x in ((1)/(2), 1] , then the value of lim_( y to a)b cos (y) is

Evaluate, lim_(x to 1) (x^(4)-1)/(x-1)=lim_(x to k) (x^(3)-k^(3))/(x^(2)-k^(2)) , then find the value of k.

f(x)+f(y)=f((x+y)/(1-xy)) ,for all x,yinR . (xy!=1) ,and lim_(x->0) f(x)/x=2 .Find f(1/sqrt3) and f'(1) .

If y(x) is the solution of the differential equation (dy)/(dx)=-2x(y-1) with y(0)=1 , then lim_(xrarroo)y(x) equals

If y(x) is the solution of the differential equation (dy)/(dx)=-2x(y-1) with y(0)=1 , then lim_(xrarroo)y(x) equals

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Let f(x)={cos[x],xgeq0|x|+a ,x<0 The find the value of a , so that (...

    Text Solution

    |

  2. If f(x)=|x-1|-[x], \where\ [x] is the greatest integer less then or eq...

    Text Solution

    |

  3. If y=2^(-2^((1/(1-x))) , then find lim(x->1^+)y

    Text Solution

    |

  4. Let f(x)={1+(2x)/a ,0lt=x&lt;1 and ax ,1lt=x&lt;2 If lim(x->1)f(x) e...

    Text Solution

    |

  5. Evaluate ("lim")(x->0) (sinx-2)/(cosx-1)

    Text Solution

    |

  6. (lim)(xrarr0)(sin(picos^2x)/(x^2)) is equal to (a) -pi (b) pi (c) ...

    Text Solution

    |

  7. Evaluate lim(x->0^-) (x^2-3x+2)/(x^3-2x^2)

    Text Solution

    |

  8. For x in R, lim(xrarroo)((x-3)/(x+2))^x is equal to (a) e (b) e^(-1) ...

    Text Solution

    |

  9. Evaluate lim(n-&gt;oo) [sum(r=1)^n1/2^r] , where [.] denotes the gre...

    Text Solution

    |

  10. ("lim")(xvecoo){1/(1-n^2)+2/(1-n^2)+......n/(1-n^2)}i se q u a lto 0 ...

    Text Solution

    |

  11. Evaluate ("lim")(x->(5pi)/4) [sinx+cosx], where [.] denotes the greate...

    Text Solution

    |

  12. If G(x)=-sqrt(25-x^2),t h e n lim(x->1)(G(x)-G(1))/(x-1)i s (a)1/(2...

    Text Solution

    |

  13. Evaluate the left-and right-hand limits of the function defined by f(...

    Text Solution

    |

  14. If f(x)=sqrt((x-sinx)/(x+cos^2x)), then lim (x->oo)f(x) is

    Text Solution

    |

  15. Evaluate the left-and right-hand limits of the function f(x)={(|x-4|)/...

    Text Solution

    |

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

    Text Solution

    |

  17. If alpha1, ,alpha2, ,alphan are the roots of equation x^n+n a x-b=0, ...

    Text Solution

    |

  18. lim(x->0)((xtan2x-2xtanx)/(1-cos2x)^2) is equal to

    Text Solution

    |

  19. Evaluate: ("lim")(xvec0)(sin^(-1)x-tan^(-1)x)/(x^3)

    Text Solution

    |

  20. lim(x->1)sqrt(1-cos2(x-1))/(x-1) a. exists and its equals sqrt(2) b....

    Text Solution

    |