Two Limits With Absolute Values
Difficulty: Medium · Topics: Calculus, Limits, Polynomials
Modulli ikki limit
A quadratic function f(x) with leading coefficient 1 satisfies both of the following. Find the maximum value of f(4).
(a) lim x→ 1( x-1 f(x))/(x-1) exists.
(b) lim x→ -1((x+1) f(x) )/(x+1)=6
Bosh koeffitsiyenti 1 ga teng f(x) kvadrat funksiya quyidagi ikkala shartni qanoatlantiradi. f(4) ning eng katta qiymatini toping.
(a) lim x→ 1( x-1 f(x))/(x-1) mavjud.
(b) lim x→ -1((x+1) f(x) )/(x+1)=6