Use the first five terms of the exponential series of e^x and a calculator to approximate e^.2?
Is this the answer: 1+.2+.04/2+.008/6+.0016/24=1.22?
Is this the answer: 1+.2+.04/2+.008/6+.0016/24=1.22?
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The Maclaurin series of f(x) = e^x is
F(x) = 1 + x + x^2 /2 + x^3 /6 + x^4 /24 + x5 /120 + x^6 /720 ....
Using 5 terms... it is f(0.2) = 1 + 0.2 + 0.04/2 + 0.08/6 + 0.0016 /24 = 1.233 OK!
F(x) = 1 + x + x^2 /2 + x^3 /6 + x^4 /24 + x5 /120 + x^6 /720 ....
Using 5 terms... it is f(0.2) = 1 + 0.2 + 0.04/2 + 0.08/6 + 0.0016 /24 = 1.233 OK!