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.

Name: I need help for problem 6. Thank you very much! must be positive on a
Uploaded: 2024-03-20T07:06:27.000Z
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Description: I need help for problem 6. Thank you very much! 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 neighborho