# How do you know if the summation #(-12)^n/n# where n is between 3 to infinity is convergent or divergent?

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- Is the following series #6-2+2/3-2/9+2/27-2/81# convergent or divergent?
- If #a_n# converges and #lim_(n->oo) a_n /b_n=0#, where c is a constant, does #b_n# necessarily converge?
- How do you find partial sums of infinite series?
- How do you test the alternating series #Sigma (-1)^(n+1)(1-1/n)# from n is #[1,oo)# for convergence?
- Using the definition of convergence, how do you prove that the sequence #{5+(1/n)}# converges from n=1 to infinity?

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