Assignment #2 Solutions
Assignment #2 Solutions
Assignment #2 Solutions
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2<br />
Question 2: (Show your reasoning.)<br />
Note: It is not necessary to give specific Limit Laws with their #’s, but beware of using ”Laws” that don’t exist! The<br />
graphs are not a necessary part of the solutions.<br />
x<br />
(a) Find lim<br />
x→1<br />
2 y<br />
3<br />
− 1<br />
2<br />
x − 1<br />
x<br />
Solution: lim<br />
x→1<br />
2 − 1 (x − 1)(x + 1)<br />
= lim<br />
=(by Limit Law #12)<br />
x − 1 x→1 x − 1<br />
lim(x<br />
+ 1) =(by Limit Law #1)<br />
x→1<br />
lim x + lim 1 =(by Limit Laws #8 and #7)<br />
x→1 x→1<br />
1 + 1 = 2<br />
1<br />
-2<br />
0<br />
-1 0<br />
-1<br />
1 2<br />
-2<br />
x<br />
Universitas<br />
DEO PAT-<br />
ET RIÆ<br />
Saskatchewanensis<br />
©2003 Doug MacLean
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