Nov 16, 2022 · In this section we will discuss using the Integral Test to determine if an infinite series converges or diverges. The Integral Test can be used on a infinite series provided the terms of the …

In this section, we discuss two of these tests: the divergence test and the integral test. We will examine several other tests in the rest of this chapter and then summarize how and when to use them.

Jul 23, 2025 · What is the Integral Test? The Integral Test is a test used in calculus to assess the convergence or divergence of an infinite series given in terms of the comparison with an improper …

Use the integral test to determine whether a given series is convergent or divergent.

Since the integral diverges, the series also diverges. Important Note: The integral test does not say that the series converges to the same value as the integral. All we can determine is whether or not the …

How the Integral Test is used to determine whether a series is convergent or divergent, examples and step by step solutions

It is generally quite difficult, often impossible, to determine the value of a series exactly. In many cases it is possible at least to determine whether or not the series converges, and so we will spend most of …

The integral test provides a means to testing whether a series converges or diverges. Interactive calculus applet.

This test, called the integral test, compares an infinite sum to an improper integral. It is important to note that this test can only be applied when we are considering a series whose terms are all positive. To …

In order to study the convergence of a series ∑∞ k=k0 ak, our first attempt to determine whether the series converges is to form the sequence of partial sums {sn}n=k0 since we know that the series ∑∞ …