Let f(x) be a polynomial function such that f(x) + f'(x) + f"(x) = x^5 + 64 and f^v​​​​​​​ (x) = 120. Then, the value of lim(x→1)f(x)/x-1

Question

Let f(x) be a polynomial function such that f(x) + f'(x) + f"(x) = x⁵ + 64 and f^v (x) = 120. Then, the value of \(\lim\limits_{x\to 1}\frac{f(x)}{x-1}\) 

(A) -15

(B) - -60

(C) 60

(D) 15

Answer 1

Correct option is (A) -15