How to interpret this Mathematica command input as given in book?

Question

I am unable to understand what the book stands for by the given command shown as input in Mathematica, as given at its Googlebooks limk here.

I mean the line given by:
$lim_{x\rightarrow \infty} cos2(2x)2x -3.$

I tried to look into Mathematica syntax for inputting, and found that subscripts, and superscripts are allowed; as is also allowed to show fractions directly in input.

So, how should I interpret the same:
as: $lim_{x\rightarrow \infty} cos^{2(2x)}2x -3$, or not?

Answer 1

I searched in the book, Exploring Calculus: Labs and Projects with Mathematica Crista Arangala Karen A. Yokley, for Lab-2, and here is what those functions were intending.

In Mathematica syntax, the last item $i$ is defined as (of course they want you to use the items listed and not this approach), so you can see how to input that function

  Limit[Cos[2 x]^2/(2 x - 3), x -> Infinity]

Here is a Google Books link.