(Section 2.2: Properties of Limits and Algebraic Functions) 2.2.5 Example 2: Discussion on Property 6 (The Limit of a Root)Remember the graph of y=x: (Figure 2.2.a) limx±²1xdoes not exist (DNE) as a real number. limx±0+x=0. limx±0²xdoes not exist (DNE). It is impossible to approach 0 from the left while staying in the domain of x. A limit can only exist if you can approach through the domain set. Therefore, limx±0xdoes not exist (DNE) as a real number. In general … Discussion on Property 6 (The Limit of a Root)Assume for now that nis a positive eveninteger. Then, if
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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.