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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.