must be positive on a neighborhood of that point.) Can you state a somewhat stronger result? 6. Let U C R" be open. Suppose g: U R is continuous and g(a) 0. Prove that 1/g is contin- us on some neighborhood of a. (Hint: Apply Proposition 3.5.) 7. Suppose T: R"-R" is a linear map.
must be positive on a neighborhood of that point.) Can you state a somewhat stronger result? 6. Let U C R" be open. Suppose g: U R is continuous and g(a) 0. Prove that 1/g is contin- us on some neighborhood of a. (Hint: Apply Proposition 3.5.) 7. Suppose T: R"-R" is a linear map.
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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