Inactive Tutor answered • 08/25/20
Tutor
New to Wyzant
We know that as we go to a larger root, the result of that number we're rooting gets smaller and smaller. Closer to 0 if you will. As the root get infinitely larger, and the result is closer to 0, our difference in the denominator will result in something closer and closer to equaling one. We can therefore estimate that as the limit is going towards infinity, we end up finding the difference of 3/1-5/1. Resulting in -2/1.
Inactive Tutor
8^1/n would become 8^0 as n gets bigger and bigger, which would make it approach 1, which is the same as what would happen to 32
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08/25/20
Inactive Tutor
You're completely correct and that's my fault. Not sure what I was thinking. In this case, we can think of the limit as existing at -1. If you graph it, you can see that all the answers are very, very close to it.
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08/25/20
Inactive Tutor
As N gets bigger, the 8 and the 32 get closer to 1. Which would give a denominator of 0. So this is not correct08/25/20