The Handy Math Answer Book

gives a solution of:

and, thus, the implied limit is:

This is because we know that:

And as xgets larger (or closer to ±) the points on the graph come closer to the

horizontal line y2 (seen as a dashed line on the graph above), which is called the

horizontal asymptote.

What is infinitesimal calculus?

Infinitesimal may mean infinitely small in most people’s dictionaries, or bring up

thoughts of subatomic particles. To those who study arithmetic, however, it may mean

numbers greater in absolute value than zero, yet smaller than any positive real number.

lim lim

x""- (^331) x== 0 and x!^1 x 0
lim ()
x
fx
11

20

"! 3 = -^2

+

=

x

x

1 1

2 1

-

+

fx()=^21 xx-+ 1

lim ()

x

fx

"! 3

220

A graphed equation limited by horizontal asymptote y 2.

lim

x"- 3

lim

x"! 3