(Chapter 3.2. Ex.# 49) Show that if fi(x) is O(g1 (x)), f2(x) is O(92(r)), and f2(r) # 0 and g2(r) # 0 for all real numbers r > 0 then (fi/f2)(x) is O((g1/92)(z)). Verify this result by giving concrete examples of fi(r), f2(x), g1 (r) and g2(x).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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(Chapter 3.2. Ex.# 49) Show that if fi (r) is O(g1 (r), f2(x) is O(g2(r)), and f2(r) # 0
and g2(r) + 0 for all real numbers r > 0 then (fı/f2) (x) is O((g1/92) (x)). Verify this result by
giving concrete examples of fi(x), f2(x), g1 (x) and g2(x).
Transcribed Image Text:(Chapter 3.2. Ex.# 49) Show that if fi (r) is O(g1 (r), f2(x) is O(g2(r)), and f2(r) # 0 and g2(r) + 0 for all real numbers r > 0 then (fı/f2) (x) is O((g1/92) (x)). Verify this result by giving concrete examples of fi(x), f2(x), g1 (x) and g2(x).
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