I have to evaluate lim n → ∞ ( − 1 ) n − 1...
I have to evaluate
Answer & Explanation
The problem is that as , diverges, and
. We have
Before can "become" 1, it is greater than 1. And so when it multiplies by , you get something greater than . And it turns out that it is still greater enough than to make a difference.
Use . Then you have . At this point your intuition works out to be correct, and goes to 1 quickly enough. But more should be done to prove this.