e to the e to the x
by Robert Porter
Robert Porter wrote this
in response to a problem
given by one of his calculus
instructors (Mr. C.).
Mr. C. Said "Say, let's have some fun.
Find x such that this: e^(e^x) equals one."
And his offer came lightly
for he surely knew rightly
that truly it couldn't be done.
Yes, he gave us e^(e^x),
no doubt his poor students to vex,
for strove we as heros
we could not prove zero
is equal to e to the x.
But wait now and think just a moment,
for a solution begins here to foment.
If we take the limit
we find that what's in it
is a way to deal with this exponent.
Let e to the x be the power of e.
Then that the limit is three minus three,
we can state without fear
as x draws quite near
to negative infinity.