Home
Class 11
MATHS
if x<1 then 1/(1+x)+(2x)/(1+x^2)+(4x^3)/...

if `x<1` then `1/(1+x)+(2x)/(1+x^2)+(4x^3)/(1+x^4)+..............oo`

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

Using properties of determinants, solve for x:|[a+x, a-x, a-x],[ a-x, a+x, a-x],[ a-x, a-x, a+x]|=0

Using properties of determinants, solve for x:|[a+x, a-x, a-x], [a-x, a+x, a-x], [a-x, a-x ,a+x]|=0

If f(x) = |(x + lamda,x,x),(x,x + lamda,x),(x,x,x + lamda)|, " then " f(3x) - f(x) =

If f(x)=sgn(x)={(|x|)/x,x!=0, 0, x=0 and g(x)=f(f(x)), then at x=0,g(x) is

Solve the following : (i) |x-2|=(x-2) " (ii) " |x+3| = -x-3 (iii) |x^(2)-x|=x^(2)-x " (iv) " |x^(2)-x-2| =2+x-x^(2)

If f(x)=|[x-2, (x-1)^2, x^3] , [(x-1), x^2, (x+1)^3] , [x,(x+1)^2, (x+2)^3]| then coefficient of x in f(x) is

If f(x)= |1 x x+1 2x x(x-1)(x+1)x3x(x-1)x(x-1)(x-2)(x+1)x(x-1)| then f(500) is equal to a. 0 b. 1 c. 500 d. -500

If f(x)=|(1, x, x+1), (2x, x(x-1), (x+1)x), (3x(x-1), x(x-1)(x-2), (x+1)x(x-1))| then f(5000) is equal to 0 b. 1 c. 500 d. -500

If f(x)= |{:(1,,x,,x+1),(2x,,x(x-1),,(x+1)x),(3x(x-1),,x(x-1)(x-2),,(x+1)x(x-1)):}| then the value of f(500) "_____"

If f(x)=|\(1,x,x+1),(2x,x(x-1),(x+1)x,3x(x-1),x(x-1)(x-2),(x+1)x(x-1))| then f(100) is equal to (A) 0 (B) 1 (C) 100 (D) -100

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If Pn is the sum of a GdotPdot upto n terms (ngeq3), then prove that (...

    Text Solution

    |

  2. If y=f(a^x)a n df^(prime)(sinx)=(log)e x ,then f i n d ((dy)/(dx)), if...

    Text Solution

    |

  3. if x<1 then 1/(1+x)+(2x)/(1+x^2)+(4x^3)/(1+x^4)+..............oo

    Text Solution

    |

  4. Find the derivative of (sqrt(x)(x+4)^(3/2))/((4x-3)^(4/3))

    Text Solution

    |

  5. If ("lim")(tvecx)(e^tf(x)-e^xf(t))/((t-x)(f(x))^2)=2a n df(0)=1/2, the...

    Text Solution

    |

  6. If y=x^(x^(x^x...oo) , find (dy)/(dx)

    Text Solution

    |

  7. If y=e^(sqrt(x))+e^(-sqrt(x)) , then (dy)/(dx) is equal to (a)(e^(sqr...

    Text Solution

    |

  8. Differentiate sqrt(((x-1)(x-2))/((x-3)(x-4)(x-5))) with respect to x

    Text Solution

    |

  9. If f(x)=|sinx-|cosx||, then the value of f^'(x) at x=(7pi)/6 is (a) ...

    Text Solution

    |

  10. If y=(tanx)^((tanx)^((tanx).... ∞) ,then find (dy)/(dx) at x=pi/4

    Text Solution

    |

  11. If graph of y=f(x) is symmetrical about the y-axis and that of y=g(x)...

    Text Solution

    |

  12. Differentiate the function with respect to x using the first principle...

    Text Solution

    |

  13. If x=t^2,y=t^3,t h e n(d^2y)/(dx^2)= (a)3/2 (b) 3/((4t)) (c) 3/(2...

    Text Solution

    |

  14. Using the first principle, prove that: d/(dx)(f(x)g(x))=f(x)d/(dx)(g(x...

    Text Solution

    |

  15. If y=x+e^x, then (d^2x)/(dy^2) is (a) e^x (b) - e^x/((1+e^x)^3) (c) -e...

    Text Solution

    |

  16. If y=(1+x^(1/4))(1+x^(1/2))(1-x^(1/4)) , then find (dy)/(dx)dot

    Text Solution

    |

  17. Let f(x)=(lim)(h->0)(("sin"(x+h))^(1n(x+h))-(sinx)^(1nx))/hdot Then f...

    Text Solution

    |

  18. If f(x)=x|x|, then prove that f^(prime)(x)=2|x|

    Text Solution

    |

  19. A function f: R->R satisfies sinxcosy(f(2x+2y)-f(2x-2y)=cosxsiny(f(2x+...

    Text Solution

    |

  20. If y=sqrt((1-cos2x)/(1+cos2x),)x in (0,pi/2)uu(pi/2,pi), then find (dy...

    Text Solution

    |