xAikx
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Could someone guide me step by step pls as I have no clue where to start...

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simon0
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This question is mainly uses Taylor expansion of an expression, in this case the Taylor expansion of  \ln(1+x) .

What have you done so far? :-)

a) First find the Taylor Expansion of  \ln(1+x) , then replace "x" with "4x".

b) Similar step to a.

c) Note the area of convergence of the Taylor expansion of  \ln(1+x) and adapt it when you replaced x with "4x" and "-3x".

d) Generally:  \ln(ab) = \ln(a) - \ln(b) .

Can you carry on with this?
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