Question

Lets say a series is convergent by the Comparison Test, how do I estimate the sum of that series?

Answer 1

some times we can estimate , some time we can,t . what's the series you want to know the summation
?

Answer 2

I'm reviewing Chapter 11 sequences and series and the question reads "If a series is convergent by the Alternating Series Test, how do you estimate its sum? "
Something about \[R _{n} \le T _{n} \le (series) \]
Is that how I estimate the sum?

Answer 3

no theres a specific formula for the sum, thats the squeeze theorem i think

Answer 4

For the Alternating series test, there's a corresponding error approximation. http://en.wikipedia.org/wiki/Alternating_series_test

Essentially, the error estimation says that your error by using the first k terms in a Taylor Series expansion is less than the difference between the kth term and the (k+1)st term.