Determining Convergence and Divergence in Calculus

When determining if a series converges or diverges in calculus, there are several tests to consider. These include the divergence test, the integral test, the comparison test, the ratio test, and the root test. The divergence test checks if the limit of the terms in the series is not zero, indicating divergence. The integral test uses integrals to determine convergence or divergence. The comparison test compares the series to another known series. The ratio and root tests examine the behavior of the terms in the series. Applying these tests will help determine the convergence or divergence of a series in calculus.