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Unformatted text preview: ± x1 x 21 if ≤ x < 1 a cos( πx ) if x ≥ 1 Choose a such that f is continuous at x = 1. 3. (a) State the Squeeze Theorem. MATH 151:Calculus I Quiz 3 (b) Show that lim x → + √ x cos 2 ± 1 x ² = 0 . 4. (a) State the Intermediate Value Theorem. (b) Show that f ( x ) below has a zero in the given interval. That is show, there is at least one c in the given interval such that f ( c ) = 0. f ( x ) =x 3 + 4 x + 2 , [1 , 1]...
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 Calculus, Intermediate Value Theorem, lim, Continuous function, x1 x2 1

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