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Unformatted text preview: Homework for Sections: 1.2 Finding Limits Graphically and Numerically 1.3 Evaluating Limits Analytically Homework on the Web Title: Intro/ Assignment (1 of 6) = 10 x is near 8 eg: x=7.9 then =0.1 y is near 10 and is small Title: Approach / Not be Defined (2 of 6) Limit does not exist at x = 2 f(x) is unbounded Limit exists at x = 2 graph is approaching 0.025 as x > 2 from both sides Title: Sep 107:01 PM (3 of 6) Title: Limit NOT exist (4 of 6) The function on the left, f(x), is not defined at x=1 or x=1. The function on the right, 1/(x+1), is not defined at x= 1, but it is defined at x=1, at the point (1, 0.5). So, these functions are equal, except for the point (1,0.5). That means that as x > 1, the y values of both are equal, and they are approaching the same limit, 0.5. Unbounded Title: Find Limit Analytically (5 of 6) Title: example w radicals (6 of 6) Summary: To Find a Limit
1. Substitute x = c a) If finite number, L, then the limit is L.
b) If results in form, k / 0 , then f is unbounded and the limit DNE 2. If indeterminate, use algebra to find a function that is equivalent at all but the undefined point, and substitute again. 3. If still indeterminate, consider special limits: Title: To Find a Limit (1 of 1) ...
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This note was uploaded on 09/09/2011 for the course MATH 1431 taught by Professor Any during the Fall '08 term at University of Houston.
- Fall '08