Let P(x) be a polynomial whose degree is 6. If P(n) =1/n for n = 1, 2, 3, 4, 5, 6, 7, compute the value P(8).

Let P(x) be a polynomial whose degree is 6. If P(n) =1/n for n = 1, 2, 3, 4, 5, 6, 7, compute the value P(8).