SECTION 2.2Finding Limits Graphically & Numerically

What’s the point of Calculus?

What’s the point of Calculus?

What’s the point of Calculus?

What’s the point of Calculus?

The Concept of a “Limit”

lim𝑥→𝑐

𝑓 (𝑥 )=L

Example 1Use a table of values to estimate the limit. Confirm graphically.

-5.1 -5.01 -5.001 -5 -4.999 -4.99 -4.9

Example 2(#18-26 even in your book)

18.

20.

Example 2 (cont.)(#18-26 even in your book)

22.

24.

Example 2 (cont.)(#18-26 even in your book)

26.

Example 3(#28 in your book)

a.

b.

c.

d.

e.

f.

g.

h.

(#30 in your book)

Use the graph of to identify the values of for which exists.

Example 4

Example 5Sketch a graph of a function with the given properties.

DNE