Taylor Series | Definition, Formula & Derivation

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SOLVED:(a) Find the first three nonzero terms of the Maclaurin series for tanx . (b) Use the result of part (a) and term-by-term differentiation to find the first three nonzero terms of the Maclaurin series for sec^2 x. (c) Use the result of part (a) and term-by-term integration to find the first three nonzero terms of the Maclaurin series for lncosx.

SOLVED:The Maclaurin series expansion for f(x)=tanx is tanx=x (1)/(3) x^3 (3)/(10) x^5 ⋯(see Example 3 , Section 10 -3). Use this to find the first three nonzero terms in the Maclaurin series expansion for the function shown. f(x)=sec^2 x

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Maclaurin Series | Overview, Formula & Examples