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If (x^(2)+x-2)/(x+3)le(f(x))/(x^(2))le(x...

If `(x^(2)+x-2)/(x+3)le(f(x))/(x^(2))le(x^(2)+2x-1)/(x+3)` holds for a certain interval containing the value of `lim_(xto-1) f(x).`

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The correct Answer is:
-1
`(x^(2)+x-2)/(x+3)le(f(x))/(x^(2))le(x^(2)+2x-1)/(x+3)`
or `underset(xto-1)lim(x^(2)+x-2)/(x+3)leunderset(xto-1)lim(f(x))/(x^(2))leunderset(xto-1)lim(x^(2)+2x-1)/(x+3)`
or` 1-leunderset(xto-1)lim(f(x))/(x^(2))le-1`
or`underset(xto-1)lim(f(x))/(x^(2))=-1" "`(Using Sandwich theorem)
or`(underset(xto-1)limf(x))/(underset(xto-1)limx^(2))=-1`
or `underset(xto-1)limf(x)=-underset(xto-1)limx^(2)=-1`
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