Home
Class 12
MATHS
If f(x)=x^(n),"n" epsilon N, then the va...

If `f(x)=x^(n),"n" epsilon N`, then the value of `f(1)-(f^(')(1))/(1!)+(f^(")(1))/(2!)-(f^''')(1)/(3!)+…+(-1)^(n)(f^(n)(1))/(n!)` is

A

`2^n`

B

0

C

`2^(n+1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|138 Videos
  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos
  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

Similar Questions

Explore conceptually related problems

if f(x)=x^(n) then the value of f(1)-(f'(1))/(1!)+(f''(1))/(2!)+--+((-1)^(n)f^(prime--n)xx(1))/(n!)

If f(x)=(1-x)^(n) , then the value of f(0)+f'(0)+(f''(0))/(2!)+...+(f^(n)(0))/(n!) , is

If f(x)=(1+x)^(n), then the value of f(0)+f'(0)+(f^(n)(0))/(2!)+(f'''(0))/(3!)+......(f^(n)(0))/(n!)

If   f(x ) = n/( n+1) , then find the value of f(n) + 1/f(n)

TARGET PUBLICATION-DIFFERENTIATION -EVALUATION TEST
  1. If 2x=y^(1/5)+y^(-1/5) then (x^2-1)(d^2y)/dx^2+xdy/dx=ky , then find t...

    Text Solution

    |

  2. if sqrt(x^2+y^2)=ae^(tan^-1 (y/x)) , a > 0, (y(0) > 0) then y"(0) equa...

    Text Solution

    |

  3. If f(x), g(x), h(x) are polynomials in x of degree 2 If F(x)=|[f,g,h],...

    Text Solution

    |

  4. If y= cos ax and yn is n^(th) derivative of y, then |{:(y,y1,y2),(y3...

    Text Solution

    |

  5. If y = sin[cos^(-1){sin(cos^(-1) x)}], "then" (dy)/(dx)" at x" = (1)/...

    Text Solution

    |

  6. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

    Text Solution

    |

  7. If the function f defined on R-{0} os a dIfferentiable function and f(...

    Text Solution

    |

  8. If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x), then the value ...

    Text Solution

    |

  9. If y=f(x^3),z=g(x^5),f'(x)=tanx and g'(x)=sec x, then (dy)/(dz)=

    Text Solution

    |

  10. If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3),p rov et h a t(dy)/(dx)=(x^2)/(y...

    Text Solution

    |

  11. Let fx) be a polynomial function of second degree. If f(1)= f(-1) and ...

    Text Solution

    |

  12. If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...

    Text Solution

    |

  13. If f(x)=|{:(x,sinx,cosx),(x^2,tanx,x^3),(2x,sin2x,5x):}| then lim(x...

    Text Solution

    |

  14. If g is the inverse of a function f and f'(x) = 1/(1+x^(5)), then g'(x...

    Text Solution

    |

  15. If y=sinx[1/(sinxsin2x)+1/(sin2xsin3x)+...+1/(sinnx sin (n+1)x)]the...

    Text Solution

    |

  16. if y=e^(sin^2x+sin^4x+sin^6x+............oo) then find (dy)/(dx)

    Text Solution

    |

  17. If y=tan^(-1)1/(1+x+x^2)+tan^(-1)1/(x^2+3x+3)+tan^(-1)1/(x^2+5x+7)++ u...

    Text Solution

    |

  18. If y=a sin (bx+c), then yn=

    Text Solution

    |

  19. If f(x)=x^(n),"n" epsilon N, then the value of f(1)-(f^(')(1))/(1!)+(f...

    Text Solution

    |

  20. If p=a^2cos^2theta+b^2 sin^2 theta, where a^2+b^2+c^2 ,then 4p+(d^2p)...

    Text Solution

    |