Why are we interested in Infinite Series?

Infinite series enable us to make computations.

Example 1:

log 2 = 1 - 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + 1/7 - + ...

Of course, log refers to the natural logarithm.

Example 2:

e = 1 + 1 + 1/2 + 1/6 + 1/24 + 1/120 + ... + 1/(n!) + ...


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