Cubic Polynomial Limit
Difficulty: Medium · Topics: Limits, Derivatives
Kub ko‘phad limiti
Let f(x) be a cubic polynomial whose coefficient of the highest order term is 1 and satisfying
lim x→ 1(f(x))/(x-1)-lim x→ a(f(x-a))/(x-a)=0.
Find the value of lim x→3/2f(x).
f(x) — bosh koeffitsiyenti 1 ga teng bo‘lgan va quyidagi shartni qanoatlantiruvchi kub ko‘phad:
lim x→ 1(f(x))/(x-1)-lim x→ a(f(x-a))/(x-a)=0.
lim x→3/2f(x) ning qiymatini toping.