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The problem involves finding the sum of reciprocal fractions infinitely. It is similar to the sum of the first n natural numbers, which can be solved using induction or by writing the sum backwards and doubling it. Each term pairs up neatly, resulting in n times (n + 1) over 2. This sum can also be expressed in summation notation, from k = 1 to n. The focus then shifts to finding the reciprocal of this sum, leading to a new approach to the problem.
