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Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Transcribed Image Text:Determine the points at which the function f to the right has discontinuities. For each point state the conditions in the continuity checklist below that are
violated
1. f(a) is defined (a is in the domain of f).
2. lim f(x) exists.
2-
3. lim f(x)=f(a) (the value of f equals the limit off at a).
f(x) is discontinuous at x=
(Use a comma to separate answers as needed.)
Select the correct choice below and, if necessary, fill in the answer box within your thoice.
O A The point(s) at x=
violate(s) the first condition in the checklist.
(Use a comma to separate answers as needed.)
O B. No points violate the first condition in the continuity checklist
Select the correct choice below and, if necessary, fill in the answer box within your choice.
O A. The point(s) at x=
violate(s) the second condition in the checklist.
(Use a comma to separate answers as needed.)
B. No points violațe the second condition in the continuity checklist,
Note that the third condition is automatically violated if either the first or the second condition is violated. Select the correct choice below and, if necessary, fill in the answer box within your
choice.
O A. The point(s) at x=
violate(s) the third condition in the checklist
(Use a comma to separate answers as needed.)
O B. No points violate the third condition in the continuity checklist.
3.
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