Question: Use the following values and four-digit rounding arithmetic to construct a third Lagrange polynomial approximation to f (1.09). The function being approximated is f (x)

Use the following values and four-digit rounding arithmetic to construct a third Lagrange polynomial approximation to f (1.09). The function being approximated is f (x) = log10(tan x). Use this knowledge to find a bound for the error in the approximation.
f (1.00) = 0.1924 f (1.05) = 0.2414 f (1.10) = 0.2933 f (1.15) = 0.3492

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