This preview shows page 1. Sign up to view the full content.
Unformatted text preview: (Section 2.3: Limits and Infinity I) 2.3.8 Example 7 Limit Form x lim 1
3 1 Limit Form 1 =0 x Example 8 (No Limit Form)
x lim 1 1
, does not exist (DNE).
x1/ 2 , also written as lim x
This is because x x is not defined as a real quantity whenever x < 0 . Note: We do not call 1
a Limit Form. (See Footnote 3.)
DNE The graph of y = x : The graph of y = 1 : x (Figure 2.3.i) (Figure 2.3.j) Limit Forms and the Limit Properties from Section 2.2
Remember that the sum of (a finite number of) limits equals the limit of the
sum, provided the limits exist as real constants. ( ) For example, the Limit Form 2 + 3
the Limit Form ( 2 3) 1, the Limit Form 2 3 the Limit Form 2
3 6 , and 2
3 5. ...
View Full Document
This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.
- Fall '10