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Calculus

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If
12x − 52 ≤ f(x) ≤ x2 + 4x − 36
determine lim x→ 4 f(x) =

What theorem did you use to arrive at your answer?

  • Calculus -

    on the left, as x>4, 48-52
    On the right, as x>4, 16+16-36

    so
    -4<=f(x)<=-4
    so, squeezed from the right, squeezed from the left, lim f(x) x>4 = -4

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