Why is the Subject of Infinite Series Difficult?

Most people approaching the subject find that it is not intuitive for them.

One must make an effort to remember correct statements of definitions and results.

The process of summing an infinite series is a process that usually (there are several ways) involves limits. Limits do not always behave as one might expect.

We have studied an example of a sequence {f_n}, n = 1, 2, 3, ... where the limit of the sequence f_n is 0 but the limit of the sequence of integrals over the interval [0, 1] is 1/2.

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