Maclaurin Series and Power Series - Approximations Using Power Series
Maclaurin Series and Power Series - Approximations Using Power Series
IB Year 6 | Grade 12
Find the Maclaurin series for \(\tan x\), up to and including the term in \(x^3\).
Hence, find the approximate value of \(\tan 0.2\).
Solution:
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Answer:\(\tan x=x+\dfrac{x^3}{3}+\cdots\); \(\tan(0.2)\approx0.2027\) (4 d.p.).
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