Division:

Generalization: n / n =1, for every integer n.

Ramanujan:

  "What is the value of 0/0?"

His Answer:

  "It may be anything"

In an arithmetic class, the teacher said that if three bananas are distributed to three students, then each student would get one banana. The teacher generalized this idea of division to say that an integer divided by itself will always be 1.

Ramanujan is said to have surprised every one by asking:

"Sir, if no banana is distributed to no student, will each student still get a banana?"

Ramanujan has been quoted to have said:

" Zero divided by zero may be anything. The zero of the numerator may be several times the zero of the denominator and vice versa".

This anecdote reveals that Ramanujan was thinking of limits and limiting processes.

 

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