Hello all; a homework question that is confusing me: 1) Find the Maclaurin Series for this function: f[x] = e^x + 2e^-x. Can I just make this Sum(0 to Infinity) of x^n/(n!) + 2Sum(0 to Infinity) of (-x)^n/(n!) ??
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Originally Posted by Sprintz Hello all; a homework question that is confusing me: 1) Find the Maclaurin Series for this function: f[x] = e^x + 2e^-x. Can I just make this Sum(0 to Infinity) of x^n/(n!) + 2Sum(0 to Infinity) of (-x)^n/(n!) ?? Yes, but you can combine some terms: If is even, the coefficient is ; if is odd, ; it can therefore be represented as So the series is
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