Let f:(1,2)R satisfies the inequality 2cos(2x−4)−33<f(x)<x−2x2∣4x−8∣∀x∈(1,2)˙ Then find (lim)x2−f(x)˙

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Question

Let $f : (1, 2) R$ satisfies the inequality $\frac{cos ( 2 x - 4 ) - 33}{2} < f (x) < \frac{x ^{2} ∣ 4 x - 8 ∣}{x - 2} \forall x \in (1, 2) ˙$ Then find $(lim)_{x 2^{-}} f (x) ˙$

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Elizabeth Discussed

Let

f : (1, 2) R

satisfies the inequality

\frac{cos ( 2 x - 4 ) - 33}{2} < f (x) < \frac{x ^{2} ∣ 4 x - 8 ∣}{x - 2} \forall x \in (1, 2) ˙

Then find

(lim)_{x 2^{-}} f (x) ˙

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Question Text

Let

f : (1, 2) R

satisfies the inequality

\frac{cos ( 2 x - 4 ) - 33}{2} < f (x) < \frac{x ^{2} ∣ 4 x - 8 ∣}{x - 2} \forall x \in (1, 2) ˙

Then find

(lim)_{x 2^{-}} f (x) ˙