If x+3x2+x−2≤x2f(x)≤x+3x2+2x−1 hold for a certain interval containing the point x=−1 and x→1limf(x) then find the value of x→1limf(x)

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Question

If $\frac{x ^{2} + x - 2}{x + 3} \leq \frac{f ( x )}{x ^{2}} \leq \frac{x ^{2} + 2 x - 1}{x + 3}$ hold for a certain interval containing the point $x = - 1$ and $x \to 1 lim f (x)$ then find the value of $x \to 1 lim f (x)$

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\frac{x ^{2} + x - 2}{x + 3} \leq \frac{f ( x )}{x ^{2}} \leq \frac{x ^{2} + 2 x - 1}{x + 3}

hold for a certain interval containing the point

x = - 1

and

x \to 1 lim f (x)

then find the value of

x \to 1 lim f (x)

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Question Text

\frac{x ^{2} + x - 2}{x + 3} \leq \frac{f ( x )}{x ^{2}} \leq \frac{x ^{2} + 2 x - 1}{x + 3}

hold for a certain interval containing the point

x = - 1

and

x \to 1 lim f (x)

then find the value of

x \to 1 lim f (x)