Do you know the formula?
Hello im new to this forum so im not sure if this is on the right forum. Im having trouble with taylors when 2 functions are combined. E.g. Expand ln(sinx) up to x^3 with a=pi/6. Could someone show me the steps to do this, thank you.
[Fixed post based on SammyS's corrections below. Thanks SammyS.]
Just start from the beginning. It is the same as any function.
Take derivatives:
Evaluate derivatives:
Now just write the Taylor expansion:
Disclaimer: Note this is just to give an idea (there may be mistakes).
I expect you're supposed to evaluate the derivatives at in order to get rational values for the coefficients. The whole point of a Taylor Series is to be able to evaluate the function at any value, it's pretty hard to do that when your coefficients can't even be evaluated...