Home
Class 12
MATHS
Let p(x) be a polynomial of degree 4 hav...

Let `p(x)` be a polynomial of degree 4 having extremum at `x = 1,2` and `lim_(x->0)(1+(p(x))/x^2)=2.` Then find the value of `p(2).`

Text Solution

Verified by Experts

The correct Answer is:
0
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

Let p(x) be a polynomial of degree 4 having extremum at x=1,2 and lim_(x rarr0)(1+(p(x))/(x^(2)))=2. Then find the value of p(2)

Consider P(x) to be a polynomial of degree 5 having extremum at x=-1,1, and lim_(x rarr0)((p(x))/(x^(3))-2)=4. Then the value of [P(1)] is (where [.] represents greatest integer function)

Let p(x) be a polynomial of degree 4 having extremum at x = 1, 2 and underset(x to 0) ("lim") (1 + (p(x))/(x^(2)) ) = 2 . Then the value of p(2) is

Let p(x) be a polynomial of degree 5 having extremum at x=-1,1 and lim_(x rarr0)((P(x))/(x^(3))-1)=7 .The value of |P(2)| is

Let p (x) be a real polynomial of degree 4 having extreme values x=1 and x=2.if lim_(xrarr0) (p(x))/(x^2)=1 , then p(4) is equal to

Let P(x) be a polynomial of degree 5 having extremum at x= -1 , 1 and underset(x rarr 0)(lim) ((P (x))/(x^(3)) -1)= 7 . The value of |P(7)| is

Let f(x) be a polynomial of degree four having extreme values at x=1 and x=2. If lim_(x to 0)(1+(f(x))/(x^(2)))=3, then f(2) is equal to

Let P(x) be a polynomial of degree 4 having a relative maximum at x=2 and lim_(x rarr0)(3-(p(x))/(x))=27 .Also P(1)=9 and P(x) has a local minimum at x=2. The value of definite integral int_(0)^(1)(p(-x)-p(x))dx equals

If P(x) = x^2 - x + 1 , find the value of P(1)

ARIHANT MATHS-LIMITS-Exercise (Single Integer Answer Type Questions)
  1. If the two AB:(int(0)^(2t)((sinx)/x+1)dx)x+y=3t and AC:2tx+y=0 interse...

    Text Solution

    |

  2. Consider a parabola y=(x^(2))/4 and the point F(0,1). Let A(1)(x(1),y...

    Text Solution

    |

  3. If L=lim(xto(pi^(+))/2)(costan^(-1)(tanx))/(x-pi//2) then cos(2piL) is

    Text Solution

    |

  4. Number of solutions of the equation cosectheta=k in [0,pi] where k=lim...

    Text Solution

    |

  5. If C satisfies the equation lim(xto oo)((x+c)/(x-c))^(x)=4 then |(e^(c...

    Text Solution

    |

  6. If lim(xto-oo)((3x^(4)+2x^(2)).sin(1/x)+|x|^(3)+5)/(|x|^(3)+|x^(2)|+|x...

    Text Solution

    |

  7. If f(x)=lim(t to 0)[(2x)/(pi).tan^(-1)(x/(t^(2)))],then f(1) is …….

    Text Solution

    |

  8. The value of lim(nto oo)(1/(sqrt(n^(2)))+1/(sqrt(n^(2)+1))+…..+1/(sqrt...

    Text Solution

    |

  9. If l=lim(xto1^(+))2^(-2^(1/(1-x))) and m=lim(xto1^(+))(x sin (x-[x]))/...

    Text Solution

    |

  10. The value of lim(xto 0)[(sinx.tanx)/(x^(2))] is …….. (where [.] deno...

    Text Solution

    |

  11. If lim+(n to oo)sum(r=1)^(n)(kr)/(1xx3xx5xx….xx(2r-1)xx(2r+1))=1 then ...

    Text Solution

    |

  12. If f(x)=lim(n to oo)sin^(4)x+1/4sin^(4)2x+..=1/(4^(n)).sin^(4)(2^(n)x)...

    Text Solution

    |

  13. If f(x+y+z)=f(x)+f(y)+f(z) with f(1)=1 and f(2)=2 and x,y, z epsilonR ...

    Text Solution

    |

  14. If lim(xto oo)(n.3^(n))/(n.(x-1)^(n)+n.3^(n+1)-3^(n))=1/3, the number ...

    Text Solution

    |

  15. The value of lim(x->oo)(((x-1)(x-2)(x+3)(x+10)(x+15))^(1/5)-x) is .....

    Text Solution

    |

  16. If lim(xto oo)([f(x)]+x^(2)){f(x)}=k, where f(x)=(tanx)/x and [.],{.} ...

    Text Solution

    |

  17. The value of lim(ntooo){(sqrt(3)+1)^(2n)} is……..(where {.} denotes fra...

    Text Solution

    |

  18. Let p(x) be a polynomial of degree 4 having extremum at x = 1,2 and l...

    Text Solution

    |

  19. If alpha is the number of solution of |x|=log(x-[x]), (where [.] denot...

    Text Solution

    |

  20. Suppose x1=tan^-1 2 >x2>x3>.... are the real numbers satisfying sin(...

    Text Solution

    |