#binomial expansion

7 messages · Page 1 of 1 (latest)

little basalt
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You got some series in part a. Let's call that (f(x)). The question wants to know how well (f(x)) approximates (h(x)) at (x = 0.01). One way of doing this is to compute (\frac{f(0.01)}{h(0.01)}) (which it wants you to give as a percentage)

silver novaBOT
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invariance.

little basalt
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it wants you to give the percentage error which means you subtract one (100%) from that and get take the absolute value

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so if f was 99% of h or 101% of h, your answer would be 1%

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[\abs{\frac{f(0.01)}{h(0.01)} - 1} = \abs{1- \frac{f(0.01)}{h(0.01)}} = \abs{\frac{h(0.01) - f(0.01)}{h(0.01)}}]

silver novaBOT
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invariance.

little basalt
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a few ways you might see it written ^