How do you simplify the decomposition by the McLoren formula?



  • When decomposing the function In(1 + sin(x) it is possible to replace sin(x) by t, separate sin(x), then assemble everything together and this will be: In(1 + sin(x) = (x - x^3/3! + o(x)4)) - ((x - x^3/3! + o(xx))^2 / 2) + ((x - x^3/3! + o(x^4))^3 / 3) + o(x^3) How can it be simplified to : x - x^3/3!



  • You must have this formula.

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