# Question about the Integral Test

So this is my first post, I was wondering can you explain the first two examples of this page?

http://www.math.ubc.ca/~rathb/mar_6_p_4.jpg [Broken]

What I don't understand is why, if there is a horizontal asymptote at p = 0.99 < 1 on first example, it diverges to infinity but in the second example, there is also a horizontal asymptote at p = 1.01 > 1 but it converges?

What's the difference and what concept am I not understanding here?

Thanks!

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mathman