Section 6.3 Limits of the form nonzero over zero zero

[markbarsamian]

Section 6.3 Limits of the form nonzero over zero:

I really like that you devoted a section of the book to this topic. I have a couple of comments. The first one is minor, about wording.

In your definition of the infinite limit, you say

"...the limit of f(x) approaches infinity as x goes to a."

To me, this does not sound right. The limit does not approach infinity. The limit is infinity.

I would say that the words

"...the limit of f(x), as x approaches a, is infinity"

are defined to mean

"...the values of f(x) go to infinity as x approaches a"

The reason I like this better is that the words

"...the limit of f(x), as x approaches a, is infinity"

are an exact translation into prose of the notation lim_{x \rightarrow a} f(x) = \infty

See indeterminateForms/digInLimitsOfTheFormNonZeroOverZero.tex