Consider the function f(x) = 2e? – 1. %3D Let P(r) be the interpolating polynomial for f(x) at 11 equally spaced points on the interval [1, 4]. Find a bound on the error of approximation at any z E [1, 4]. |P(x) – f(x)| < Enter your final answers to at least the fifth decimal place.

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Consider the function
f(x) = 2e" – 1.
Let P(x) be the interpolating polynomial for f(x) at 11 equally spaced points on the interval [1, 4].
Find a bound on the error of approximation at any z € [1, 4].
|P(x) – f(x)| <
Enter your final answers to at least the fifth decimal place.
Transcribed Image Text:Consider the function f(x) = 2e" – 1. Let P(x) be the interpolating polynomial for f(x) at 11 equally spaced points on the interval [1, 4]. Find a bound on the error of approximation at any z € [1, 4]. |P(x) – f(x)| < Enter your final answers to at least the fifth decimal place.
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