Question
(a) Show that the function $f$ determined by the $n$ th term of the series satisfies the hypotheses of the integral test. (b) Use the integral test to determine whether the series converges or diverges.$$\sum_{n=1}^{\infty} \frac{1}{4 n+7}$$
Step 1
We want to show that this function satisfies the hypotheses of the integral test. The integral test requires that the function be positive, continuous, and decreasing for all $x \geq 1$. Show more…
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