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17 November, 15:06

Determine c so that f (x) is continuous on the entire real line if f (x) = x^2 when x3 ... ?

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  1. 17 November, 17:39
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    F (x) = x^2 ... if x ≤ 3

    f (x) = c / x ... if x > 3

    Contidition of continuity = > Lim f (x) when x approaches 3 from the right side equals f (3).

    f (3) = x^2 = 9

    Lim c / x when x - > 3 + = c/3

    Then c / 3 = 9 = > c = 3*9 = 27

    Answer: c = 27.
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