a. Show that the sequence (an) given by 1 n²/log(n) gives a series Σan which satisfies the conditions of the Integral Test. an =
b. Explain why the Integral Test is not a good choice for determing conver- gence of the series Σαπ.
c. Recall our derivation of the Integral Test. Instead of bounding the area of rectangles by an integral, try considering new rectangles with base lengths of 2". Can you use this to write down a new series which bounds the old one?
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