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g(a) gla) - 9(a) 2 a - 8 a +8 For the case g(a) < 0, consider the function -g. consequence of this lemma is that if we art with a sequence (x,) converging to a, en for n sufficiently large, g(xn) # 0.

g(a) gla) - 9(a) 2 a - 8 a +8 For the case g(a) < 0, consider the function -g. consequence of this lemma is that if we art with a sequence (x,) converging to a, en for n sufficiently large, g(xn) # 0.

Advanced Engineering Mathematics
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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12:21 A personal.psu.edu/ecb! + g(a) g(a) - 9(a) 2 а — в a +8 For the case g(a) < 0, consider the function -g. A consequence of this lemma is that if we start with a sequence (xn) converging to a, then for n sufficiently large, g(x,) ± 0. Problem 9.2.11. Use Theorem 9.2.1, to prove that if f and g are continuous at a and g(a) + 0, then f/g is continuous at a. Theorem 9.2.1. The function ƒ is continuous at a if and only if f satisfies the following property: sequences (xn), if lim xn = a then lii in-context II V II
Transcribed Image Text:12:21 A personal.psu.edu/ecb! + g(a) g(a) - 9(a) 2 а — в a +8 For the case g(a) < 0, consider the function -g. A consequence of this lemma is that if we start with a sequence (xn) converging to a, then for n sufficiently large, g(x,) ± 0. Problem 9.2.11. Use Theorem 9.2.1, to prove that if f and g are continuous at a and g(a) + 0, then f/g is continuous at a. Theorem 9.2.1. The function ƒ is continuous at a if and only if f satisfies the following property: sequences (xn), if lim xn = a then lii in-context II V II
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