How Do I Find The Logarithmic Expansions Of Log[x],i Mean The Series Of Log[x].it Is Urgent
There are many series for Log[x] but generally they only cover a very small range of x.
This might be useful: http://functions.wolfram.com/ElementaryFunctions/Log/06/01/01/
The series expansion of any function can be obtained by Taylor's series expansion:
Using the above formula, any function can be expanded in terms of powers of (x-a), provided that all derivatives of f(x) are defined at x=a.
Note: logx can not be expanded in terms of powers of x, because the derivatives of logx are not defined at x=0.
From a Yahoo search on Logarithmic Expansion:
I think you mean log x cannot be expanded about zero in a series of nonnegative powers.
example can be done via the log(1+x) series |x|<1
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