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A Polynomial from Two Limits

Difficulty: Easy · Topics: Calculus, Limits, Polynomials

Ikki limitdan ko‘phad

The polynomial function f(x) satisfies

lim x→∞≤ft(x-fracf(x)x^2 )=1, lim x→ 0(f(x))/(x)=4

Find the value of f(1).

f(x) ko‘phad quyidagilarni qanoatlantiradi:

lim x→∞≤ft(x-fracf(x)x^2 )=1, lim x→ 0(f(x))/(x)=4

f(1) ning qiymatini toping.