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8 October, 10:36

Find the linear approximation at x=0 to 1/√ (3-x). Write your answer in the form y=Ax+B.

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  1. 8 October, 11:06
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    1/root (5-x) = 1 / (root5 * root 1 - x/5)

    1/root5 * (1-x/5) ^-1/2

    Using the 1st 2 terms of the binomial expansion 1 + nx:

    1/root5 (1 + x/10)

    = X/10root5 + 1/root5
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