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23 November, 16:31

The line defined by the equation 2y+3=-2/3 (x-3) is tangent to the graph of g (x) at x=-3. What is the value of the limit as x approaches - 3 (g (x) - g (-3)) / (x+3)

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  1. 23 November, 17:40
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    2y+3=-2/3 (x-3)

    minus 3 both sides

    2y=-2/3 (x-3) - 3

    divide both sides by 2

    y=-1/3 (x-3) - 3/2

    ok, so one thing we can do is evaluate numbers super close to it

    when x=3.00001, then the result is aprox - 1.5

    when x=2.99999, the result is - 1.5

    the value of the limit is - 1.5 or - 3/2
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