# limits - Homework for Sections: 1.2 Finding Limits...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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) ...
View Full Document

## 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.

Ask a homework question - tutors are online