Find the seires expansion of up to

I suppose then we would have but i don't know how to proceed after this.

Thanks

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- December 27th 2009, 09:22 PMarzeExpansions

Find the seires expansion of up to

I suppose then we would have but i don't know how to proceed after this.

Thanks - December 27th 2009, 11:24 PMCaptainBlack
- December 28th 2009, 12:59 AMarze
- December 28th 2009, 07:00 AMCaptainBlack
If you are doing this question you should already know the change of base relation for logarithms which here is:

If you do not know the change of base relation then stop doing this and go back and learn the propoerties of the functions.

Also always specify the base of a if it is not a natural logarithm. You teacher may think they are teaching a convention when they tell you denotes and denotes but its not a universal convention.

CB - December 29th 2009, 07:47 PMarze
Ok I done that and checked the answer and it was my answer would have been .

The next part of the question is:

Assuming the validity of the process, differentiate as given to show that as far as the term in , . - December 30th 2009, 12:00 AMCaptainBlack
- December 30th 2009, 01:05 AMarze
Oops! I forgot to show my workings and I put in the wrong numbers.

is the expansion of

differentiate that

- January 18th 2010, 11:03 PMsoni12hello
great puzzle its so simple logs are simple

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