Use a Maclaurin series to obtain the Maclaurin series for th

Use a Maclaurin series to obtain the Maclaurin series for the given function
f(x)=2e^x + e^8x

Solution

2ex = 2 [ 1 + x + x2 /2! + x3 /3! + x4 /4! ........ ]

e8x = [ 1 + 8x + 64x2 /2! + 83 x3 /3! + 84 x4 /4! ......... ]

adding them :

: 3 + 11x + 66x2 /2! + 514x3 /3! + ........

Use a Maclaurin series to obtain the Maclaurin series for the given function f(x)=2e^x + e^8x Solution2ex = 2 [ 1 + x + x2 /2! + x3 /3! + x4 /4! ........ ] e8x

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