Unformatted text preview: f ( x ) for x near 2. For example, L (1 . 99) = 11 + 14(1 . 992) = 10 . 86 , which could be used as an approximation to f(1.99). (Note that in fact we can easily calculate the exact value of f (1 . 99), f (1 . 99) = 1 . 99 3 + 2 · 1 . 991 = 10 . 8606 , so in this case the linear approximation correctly determines the ﬁrst 4 digits of f (1 . 99). )...
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 Fall '10
 KIHYUNHYUN
 Calculus, Numerical Analysis, Approximation, Linear Approximation

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