Home
Class 11
MATHS
If x in{1,2,3......9} and fn(x) =x x x ....

If `x in{1,2,3......9}` and `f_n(x) =x x x ...x` (n digits ), then `f_n^2(3)+f_n(2) ` is equal to

A

`2f_(2n)(1)`

B

`f_n^2(1)`

C

`f_(2n)(1)`

D

`-f_(2n)(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    PATHFINDER|Exercise QUESTION BANK|41 Videos
  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

Similar Questions

Explore conceptually related problems

Let a,b, c in R. " If " f(x)=ax^(2)+bx+c is such that a+b+c=3 and f(x+y)=f(x)+f(y)+xy, AA x,y in R, " then " sum_(n=1)^(10) f(n) is equal to

If f(x+1)+f(x-1)=2f(x) and f(0)=0, then find f(n),n in N , is

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

f(x) is a continuous function for all real values of x and satisfies int_n^(n+1)f(x)dx=(n^2)/2AAn in Idot Then int_(-3)^5f(|x|)dx is equal to (a) (19)/2 (b) (35)/2 (c) (17)/2 (d) none of these

If f(x)=(sin3x)/sin x , X ne n pi then find range of f(x)

The function f(x)=(cosx+isinx)(cos3x+isin3x)...{cos(2n-1)x+isin(2n-1)x} , then f'(x) is equal to

If f(x)={0 ,where x=n/(n+1),n=1,2,3.... and 1 else where then the value of int_0^2 f(x) dx is

Let f : R to R be a real function. The function f is double differentiable. If there exists ninN and p in R such that lim_(x to oo)x^(n)f(x)=p and there exists lim_(x to oo)x^(n+1)f(x) , then lim_(x to oo)x^(n+1)f'(x) is equal to

If f(x) = lim_(nrarr infty)(sinx)^(2n) where n in l^+ then f(x) is

If g is the inverse of a function f and f ' ( x ) = 1 / (1 + x^ n , Then g ' ( x ) i equal to

PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. 1/2+3/4+7/8+15/16+..... t o n terms =

    Text Solution

    |

  2. 0ltthetaltpi/2, if x=sum(n=0)^inftycos^(2n)theta,y=sum(n=0)^inftysin^(...

    Text Solution

    |

  3. If x in{1,2,3......9} and fn(x) =x x x ...x (n digits ), then fn^2(3)+...

    Text Solution

    |

  4. Four no. are in AP . If their sum is 20 and the sum of their squares i...

    Text Solution

    |

  5. Sum of n terms of series 1.3+3.5+5.7+....is

    Text Solution

    |

  6. If the sum of an infinitely decreasing GP is 3, and the sum of the squ...

    Text Solution

    |

  7. 1+2.2+3.2^2+4.2^3+....100.2^99 equals

    Text Solution

    |

  8. If A1,A2 be two AM's and G1,G2 be the two GM's between two number a an...

    Text Solution

    |

  9. If H1,H2,H3,.......Hn be n harmonic means between a and b then (H1+a)...

    Text Solution

    |

  10. If a,b,c are in AP and a^2,b^2,c^2 are in HP, then

    Text Solution

    |

  11. If between 1 and 1/31 there are n H.M's and ratio of 7th and (n-1)^th ...

    Text Solution

    |

  12. (a^(n+1)+b^(n+1))/(a^n+b^n) is AM/GM/HM, between a and b if n is equal...

    Text Solution

    |

  13. Sum of infinite terms of series 3+5. 1/4+7. 1/4^2+..... is

    Text Solution

    |

  14. The value of x for which 1/(1+sqrtx),1/(1-x),1/(1-sqrtx) are in AP li...

    Text Solution

    |

  15. If the non-zero numbers a,b,c are in AP and tan^-1a,tan^-1b,tan^-1c ar...

    Text Solution

    |

  16. If a,b,c,d are distinct positive numbers in AP, then

    Text Solution

    |

  17. If sum(r=1)^nr(r+1)(2r+3)=an^4+bn^3+cn^2+dn+e, then

    Text Solution

    |

  18. The pth term Tp of HP is q(p+q) and qth term Tq is p(p+q) when pgt1,qg...

    Text Solution

    |

  19. For a positive integer n let a(n)=1+1/2+1/3+1/4+.......+1/((2^n)-1) th...

    Text Solution

    |

  20. A geometric progression of real number is such that the sum of its fir...

    Text Solution

    |