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Solve using the sandwich method

Solve using the sandwich method-example-1

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Answer:


\frac{ (25)/(4) + (w)/(8) }{ (16)/(5) + \frac{5}{ {w}^(2) } } = \frac{ (50 + w)/(8) }{ \frac{16 {w}^(2) + 80 }{5 {w}^(2) } } =


(50 + w)/(8) / \frac{ {16w}^(2) + 80 }{5 {w}^(2) } =


( (w+ 50)/(8) )( \frac{5 {w}^(2) }{16( {w}^(2) + 5) } ) =


\frac{ {5w}^(2)(w + 50) }{128( {w}^(2) + 5)} = \frac{5 {w}^(3) + 250 }{128 {w}^(2) + 640}

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