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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