# expansion of e^-x/3?

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Why bother with a post grad? Are they even worth it? Have your say! 26-10-2016
1. the maclaurins series expansion is totally new to me
I know that
e^x = 1 + x + x^2/2!.....

but what would the expansion of e^-x/3 be?

thank you
2. Going by the the Maclaurin series equation, you need to find the derivatives of the function you're given. Do you mean, e^(-x/3) or e^(-x)/3? Either way, differentiate it to how many derivatives they ask for (E.g, "find the expansion up to the x^2 term" - the second derivative) and use the formula for it. From memory, I think it's f(x) ~ f(0) + xf'(0) + (x(^2)/2!)f''(0)....

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