- #1
ivan77
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Homework Statement
what is the maclaurin series expansion of the function (1-x)^-2
Homework Equations
maclaurin series
The Attempt at a Solution
part of the solution is to find the n derivatives of the function to setup the series
MY ANSWERS
n fn(x)
0 (1-x)^-2 this should be the 0th derivative of the function
1 -2(1-x)^-3 this should be the first derivative of the function
2 6(1-x)^-4 second derivative
3 -24(1-x)^-5 third derivative
TEXTBOOK ANSWERS
n fn(x)
0 (1-x)^-2 this should be the 0th derivative of the function
1 2(1-x)^-3 this should be the first derivative of the function
2 6(1-x)^-4 second derivative
3 24(1-x)^-5 third derivative
NOTICE the lack of negatives on the 1 and 3 derivative.
The thing that is confusing the heck out of me as well is that when I look for the first derivative of the function (1-x)^-2 on wolfram alpha it gives me -2(1-x)^-3, but when I look for the maclaurin series, the answer does not show the negative sign.
Please help