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 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 f(x) be a polynomial of degree four having extreme values at x""=""1 and x""=""2 . If (lim)_(xvec0)[1+(f(x))/(x^2)]=3 , then f(2) is equal to : (1) -8 (2) -4 (3) 0 (4) 4

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 lim_(x rarr0)((P(x))/(x^(3))-1)=7 .The value of |P(2)| is

f(x) is polynomial of degree 4 with real coefficients such that f(x)=0 satisfied by x=1, 2, 3 only then f'(1) f'(2) f'(3) is equal to -

f(x) is a polynomial of degree 4 with real coefficients such that f(x)=0 is satisfied by x=1,2,3 only, then f'(1).f'(2).f'(3) 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 f is differentiable at x=1, Then lim_(x to1)(x^2f(1)-f(x))/(x-1) is

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