How to expand that function below into Maclaurin series? Is it even possible? f(x)=x^2+ln((2x−3)/(5−3x))

Databasex3

Databasex3

Answered question

2022-08-09

How to expand that function below into Maclaurin series? Is it even possible?
f ( x ) = x 2 + ln ( 2 x 3 5 3 x )

Answer & Explanation

raffatoaq

raffatoaq

Beginner2022-08-10Added 22 answers

For x ( 3 2 , 5 3 ) this function is valid. so strictly speaking you cannot expand it via maclaurin series.but you can expand it using taylor expansion about a point a where a ( 3 2 , 5 3 ) . although if you want to use maclaurin function only you can split the log term into two , i.e ln ( 2 x 3 ) ln ( 5 3 x ) and then individually apply maclurin and add them

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