Is there a way to obtain the formula of the Taylor's expression of continuous functions. For example, how can I obtain the Taylor's development of the function without trying to find it by writing down the first derivative, the second one, etc?
Is there a way to obtain the formula of the Taylor's expression of continuous functions. For example, how can I obtain the Taylor's development of the function without trying to find it by writing down the first derivative, the second one, etc?
If you read what I said you could just memorize the power series...and imput the different values...and for I would suggest but am not positve you would use with ...and then apply this Taylor series - Wikipedia, the free encyclopedia look for the one that looks like the one I gave you with the alpha
I haven't to time to give a detailed response right now, but this should be enough to get you started.
Firstly when you take your first few derivatives do not attempt the simplify the fractions that may lead to you missing the general formula.
also, for this problem you will need to come up with a formula for the product first n odd numbers, can you see why ?
If you need help with that just ask.
Bobak
I don't understand well what you mean. I've wrote some derivatives of . I'm trying to guess the nth derivative, and till now what I have is but I know I'm missing a product in the numerator.also, for this problem you will need to come up with a formula for the product first n odd numbers, can you see why ?