Consider what the existence of those limits (and their finite, non-zero values) means for the values of f(x) at x=1, x=2, and x=3. What monomials must then be factors of the polynomial f(x)?
Consider what the existence of those limits (and their finite, non-zero values) means for the values of f(x) at x=1, x=2, and x=3. What monomials must then be factors of the polynomial f(x)?
--Kevin C.
i think f(x) has x-1 x-2 x-3
so i assume f(x)=a(x-1)(x-2)(x-3) is it right?
but
i can not slove the problem~
Close. f(x)=(x-1)(x-2)(x-3)*p(x), where p(x) is a polynomial with nonzero values at x=1, x=2, and x=3. Consider what the limits say about p(x), and find the lowest degree polynomial that satisfies these conditions.