Series & Convergence Solver

About Series & Convergence

After AP and GP, the natural question is: what about infinite series with a general nth term? The 10 problems work through the standard convergence tests — the comparison test, the ratio test, the root test, and the integral test — and apply them to series you'll meet in any analysis course. The set also includes Taylor and Maclaurin expansions of eˣ, sin x, cos x, log(1 + x), and a few problems where you find the radius of convergence of a power series. Each test is stated formally before it is used.

What this calculator does

• Step-by-step working. Every intermediate line is shown, in the layout examiners reward in CBSE / ICSE and university scripts.
• Graphs where they help. Functions and equations are plotted so you can see the result rather than just read it.
• Verification. The answer is substituted back into the original problem so you know the working is consistent.

Frequently Asked Questions