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.