ABSTRACT

The idea of a limit is one of the most basic ideas in calculus. The equation lim x → a f ( x ) = c https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003009573/94296aab-a863-4b69-a9f7-e057ead7b3b0/content/C002_equ_0001.tif"/> means that as x gets closer to a (but not equal to a), the value of f(x) gets arbitrarily close to c. It is also possible that the lim x → a f ( x ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003009573/94296aab-a863-4b69-a9f7-e057ead7b3b0/content/C002_equ_0002.tif"/> will not exist. Limits can be viewed analytically, graphically, and by numerical tables.