Home
Class 12
MATHS
Let f(x) be a polynomial of degree fou...

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 : (1) `-8` (2) `-4` (3) 0 (4) 4

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2023 JAN ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|360 Videos
  • LINEAR INEQUALITIES

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

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

If p(x) is a polynomial of degree 6 with coefficient of x^6 equal to 1 . If extreme value occur at x=1 and x=-1 , lim_(xrarro)(f(x)/x^3)=1 then 5f(2)=

Let f(x) be a polynomial of degree 4 such that f(1)=1,f(2)=2,f(3)=3,f(4)=4 and lim_(x rarr oo)(xf(x))/(x^(5)+1)=1 then value of f(6) is

Let f(x) be a polynomial of degree 6 divisible by x^(3) and having a point of extremum at x = 2 . If f'(x) is divisible by 1 + x^(2) , then find the value of (3f(2))/(f(1)) .

Let f(x) be an non - zero polynomial of degree 4. Extremum points of f(x) are 0,-1,1 . If f(k)=f(0) then,

If f(x) is a polynomial of degree four with leading coefficient one satisfying f(1)=1,f(2)=2,f(3)=3. then [(f(-1)+f(5))/(f(0)+f(4))]

Let f(x)=|cosx x 1 2sinx x2xsinx x x| , then (lim)_(x->0)(f(x))/(x^2) is equal to (a) 0 (b) -1 (c) 2 (d) 3

Let f(x) be a polynomial of least degree such that lim_(x rarr0)(1+(x^(4)+f(x^(2)))/(x^(3)))^(1/x)=e^(3), then write the value of f(3)

Let f(x) be a polynomial of degree 4 on R such that lim_(x rarr1)(f(x))/((x-1)^(2))=1 If f'(0)=-6 and f'(2)=6, then find global maximum value of f(x) in [(1)/(2),2]