SOLUTION: using the power series for e^x, determine the value of 6e^0.6 correct to five significant figures

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Question 37743: using the power series for e^x, determine the value of 6e^0.6 correct to five significant figures
Answer by fractalier(6550) About Me  (Show Source):
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e^x = x^0 + x^1 / 1 + x^2 / 2! + x^3 / 3! + x^4 / 4! + .... so that
6e^.6 = 6[.6^0 + .6^1 / 1 + .6^2 / 2! + .6^3 / 3! + .6^4 / 4! + .6^5 / 5! + ...
6e^.6 = 6[1 + .6 + .18 + .072 + .0054 + .000648 + .0000648 + ...]
6e^.6 = 10.93271