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#6 on HW 10: Interval notation

afernan2

Problem #6 on HW 10 asks us to find the values of p for which

\sum_{n=1}^{\infty} \frac{\ln n}{n^{5 p}}

converges. I think the answer is that the value of p works for everything beyond 3/10 but I’m not sure how to enter that in “Interval notation”. Does any have any advice?

mearing

That confused me at first as well. Here is how i formatted it:

(\frac{3}{10}, \infty)
chowell1

Interval notation is notation that show a section of a number line, or the x-axis for a graph, in case remembering this stumped you like it did me.

gwebb

Interval notation uses ( and [ to indicate open and closed for each side/direction of the interval. Here’s how the formatting works:

(2,5) means 2 \lt x \lt 5
[2,5] means 2 \le x \le 5
(2,5] means 2 \lt x \le 5
[2,5) means 2 \le x \lt 5