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Really simple question about MacLaurin series? anyone?
Really simple question about MacLaurin series? anyone?
the questions are:
a) obtain the first 4 terms in the MacLaurin Series for e^(-x^2).
b) use the first 2 terms in a) to find an approximation for y= xe^(-x^2) when x is small.
please help me. i don't even understand this topic. at least tell me the what to do.. i don't even learn this thing yet..
1 Answer
- 1 decade agoFavorite Answer
A Maclaurin Series is a Taylor Series evaluated at 0.
f(x) = f(0) + f ' (0)x + [f '' (0)/2!] x^2 + [f ''' (0)/3!] x^3 ...
The first four terms are above. For part (b) imagine that x is almost 0. Does this change your original function at all?
