# What do you do if the Alternating Series Test fails?

I hope that this was helpful.

By signing up, you agree to our Terms of Service and Privacy Policy

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.

- How do you determine whether the sequence #a_n=((n-1)/n)^n# converges, if so how do you find the limit?
- How do you test the improper integral #int x^3 dx# from #(-oo, oo)# and evaluate if possible?
- How can an infinite series have a finite sum?
- Can anyone find the value and if possible show every step? Thanks in advance.
- How do you use the integral test to determine if #Sigma e^-n# from #[1,oo)# is convergent or divergent?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7