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.

For reference use the basic Maclaurin series posted below. Give the Maclaurinseries expansion of ex , including at least the first 10 terms.Usethe series in (a) and substitution to give the Maclaurin series expansionof e-*, including at least the first 10 terms.Use your series in(a) and (b) and the definition of the hyperbolic cosine function :

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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