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Calculation of the Taylor series expansion of any differentiable function;(ie, cos( x) = cos( )) and the taylor seris of y = cosx has only even powers = X1 n=0 ( 1)n x2n (2n)!Taylor series is used for approximation of functions Check our article about Taylor series if you need more details As you know, often general formula is not enough for solving problems There's no need in reinventing the bicycle each time, when you face one of common functions More profitable way is to memorize a few expansions and use ready formulas when required Answered The Taylor Series For F X Cos X At Bartleby Cos x maclaurin series