A Polynomial from Derivative Limits
Difficulty: Easy · Topics: Calculus, Limits, Polynomials
Hosila limitlaridan ko‘phad
The polynomial function f(x) satisfies
lim x→∞fracf'(x)x^2=3, lim x→ 0(f'(x))/(x)=2, f(0)=0
Find the value of f(1).
f(x) ko‘phad quyidagilarni qanoatlantiradi:
lim x→∞fracf'(x)x^2=3, lim x→ 0(f'(x))/(x)=2, f(0)=0
f(1) ning qiymatini toping.