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2 September, 00:24

Use the three conditions to show that function f (x) = 2x^2 + 3x - 1 is continuous at x=0.

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  1. 2 September, 03:36
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    f (x) = 2x^2 + 3x - 1

    f' (x) = 4x + 3

    f'' (x) = 4

    f (0) = 2 (0) ^2 + 3 (0) - 1 = - 1 (valid)

    f' (0) = 4 (0) + 3 = 3 (valid)

    f'' (0) = 4 (valid)

    => f (x) is continous at x = 0
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