Home
Class 12
MATHS
If sqrt([(x)/(x-1)])=a0 + (a1)/( x-1) +...

If `sqrt([(x)/(x-1)])=a_0 + (a_1)/( x-1) + (a_2)/((x-1)^2)+….....` where `x gt 2` then `16a^3=`

A

2

B

4

C

1

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 1|4 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 2|3 Videos

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (BINOMIAL COEFFICIENTS)|83 Videos

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4 (SPECIAL TYPE QUESTIONS)|15 Videos

  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set 4|4 Videos

Similar Questions

Explore conceptually related problems

((x+1))/((2x-1)(3x+1))=A/((2x-1))+B/((3x+1)) rArr 16A+9B=

If (1-px)^-1/((1-qx))=a_0+a_1x+a_2x^2+a_3x^3+....... then a_n=

f(x)={(x)/(1+x)+(x)/((1+x)(1+2x))+(x)/((1+2x)(1+3x))+....n terms} and x gt 0 then Lt_(x to oo)f(x)=

If x_(1)=2tan^(-1)((1+x)/(1-x)), x_(2)=sin^(-1)((1-x^(2))/(1+x^(2)))," where "x in (0, 1)," then "x_(1)+x_(2) is equal to

If f(x)=(1)/(sqrt(x+2sqrt(2x-4)))+(1)/(sqrt(x-2sqrt(2x-4))) for x gt 2 then f(11)=

sqrt((3x)/(x+1))+sqrt((x+1)/(3x))=2," when "x ne 0and x ne -1

If (1+x)(1+x+x^2)(1+x+x^2+x^3)……(1+x+x^2+……+x^(n-1)) = a_0 + a_1x + a_2x^2 +…….+a_m x^m then a_0 +a_1 + …..+ a_m =

1 + (x)/( a_1) + ( x( x+a_1) )/( a_1 a_2 ) + .... + ( x ( x+a_1) (x+ a_2)... ( x+a_(n-1) ) )/( a_1 a_2 ..... a_n)=

DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1C (BINOMIAL THEOREM WITH RATIONAL INDEX)
  1. If a is small in comparison with x, then ((x)/(x+a))^(1//2) + ((x)/(x-...

    Text Solution

    |

  2. If a is small in comparison with x, then ((x)/(x+a))^(1//3) - ((x)/(x-...

    Text Solution

    |

  3. If sqrt([(x)/(x-1)])=a0 + (a1)/( x-1) + (a2)/((x-1)^2)+…..... where x...

    Text Solution

    |

  4. If (a+bx)^(-3) = (1)/(27) + (1)/(3) x + ….. then the ordered pair (a, ...

    Text Solution

    |

  5. If p and q are the coefficients of x^n in (1+x)^(2n) and (1-4x)^(-1//2...

    Text Solution

    |

  6. (8.8)^(1//3) =

    Text Solution

    |

  7. root(3)(1003)-root(3)(997)=

    Text Solution

    |

  8. 1+(1)/(4) + (1.3)/(4.8) + (1.3.5)/(4.8.12)+…...=

    Text Solution

    |

  9. 1+(2)/(4) + (2.5)/(4.8)+(2.5.8)/(4.8.12)+(2.5.8.11)/(4.8.12.16)+…..=

    Text Solution

    |

  10. 1+(2)/(6)+(2.5)/(6.12)+(2.5.8)/(6.12.18)+….....=

    Text Solution

    |

  11. Find the sum of the infinite series (3)/(4)+(3.5)/(4.8)+(3.5.7)/(4.8...

    Text Solution

    |

  12. 1+(1)/(2). (3)/(5) + (1.3)/(2.4) . (9)/(25)+(1.3.5)/(2.4.6).(27)/(125)...

    Text Solution

    |

  13. The sum of the series 1+ (2)/(3)((1)/(8)) + (2 xx 5 xx 8)/(3 xx 6 xx 9...

    Text Solution

    |

  14. 1+(k)/(3) + (k(k+1))/(3.6) + (k(k+1) (k+2))/(3.6.9) + …=

    Text Solution

    |

  15. Find the sum of the infinite series (7)/(5)(1+(1)/(10^(2))+(1.3)/(1...

    Text Solution

    |

  16. 1-(1)/(4)+(1.3)/(4.8)-(1.3.5)/(4.8.12)+…..=

    Text Solution

    |

  17. 1-(1)/(5)+(1.4)/(5.10) - (1.5.7)/(5.10.15)+…..=

    Text Solution

    |

  18. 1-(1)/(8)+(1.3)/(8.16)-(1.3.5)/(8.16.24)+…..=

    Text Solution

    |

  19. 1-(3)/(4)+(3.5)/(4.8)-(3.5.7)/(4.8.12)+….=

    Text Solution

    |

  20. 1-(3)/(16)+(1.4)/(1.2)((3)/(16))^2- (1.4.7)/(1.2.3)((3)/(16))^3 + …..=

    Text Solution

    |