I'm confused between some formulae so I'm going to give some examples and you can let me know if what I'm writing is correct.
Find the Taylor series for....
EXAMPLE 1:
around
Then,
provided that or,
Does this look correct?
EDIT: Now if I do the same question in another fashion...
provided that or,
They aren't equal, in this one I have a kicking around in my sum.
What am I doing wrong here?
They are both centered at x= -2 but there is a missing sign in your second calculation.
For a geometric series, .
In your first calculation, you have so and . Your calculations are correct.
In your second calculation, you have and that is NOT of the correct form for the geometric series. You have , not
You could then say and replacing "r" with "-r" cancels that incorrect