Maclaurin Series for cos(x) and e^x?

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Maclaurin Series for cos(x) and e^x?

What is the Maclaurin series for cos(x) and what is the Maclaurin series for e^x?

2007-10-16 20:36:19 · 2 answers · asked by Jon G 4 in Science & Mathematics ➔ Mathematics

2 answers

cos(x)= 1 -[ (x^2) / 2! ] + [ (x^4) / 4! ] - ...

e^x = 1 + [ x/ 1!] +[ (x^2) / 2! ] + [ (x^3) / 3! ] + ...

2007-10-16 21:27:09 · answer #1 · answered by qwert 5 · 0⤊ 0⤋

These are standard MC series, which are absolutely convergent for all x. You should commit these to memory, as well as the MC series for sin(x), sinh(x), and cosh(x).

2007-10-19 17:20:44 · answer #2 · answered by Tony 7 · 0⤊ 0⤋