Question: For reference use the basic Maclaurin series posted below. Give the Maclaurin series expansion of ex , including at least the first 10 terms.Use the
For reference use the basic Maclaurin series posted below.





Give the Maclaurin series expansion of ex , including at least the first 10 terms.Use the series in (a) and substitution to give the Maclaurin series expansion of e-*, including at least the first 10 terms.Use your series in (a) and (b) and the definition of the hyperbolic cosine function : cosh x = = (ex + e *) to give the Maclaurin series expansion of cosh x , showing at least first 5 terms .Recall that the imaginary number i has the property that : i? = -1. Use this fact (and substitution) to give the Maclaurin series expansion for cos(ix), showing at least first 5 terms.Xunction Maclaurin Series E r r =1+x+ + + + . . *=0 K ! 2! 3! 4! 3 S sin x E(-1) =X- + + . . . K=0 (2k + 1)! 3! 5! 7! .4 COS X E(-1) =1- + + . . *=0 2k)! 2! 4! 6! x= ltxtxtxt... (if -1
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