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For the given function f(x) and numbers L, c, and > 0, find an open interval about c on which the inequality |f(x) - L

Posted: Wed Jul 06, 2022 11:55 am

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For The Given Function F X And Numbers L C And 0 Find An Open Interval About C On Which The Inequality F X L E 1 (17.74 KiB) Viewed 11 times

For the given function f(x) and numbers L, c, and > 0, find an open interval about c on which the inequality |f(x) - L<e holds. Then give a value for 8>0 such that for all x satisfying 0 < x-c|< 8 the inequality |f(x) - L<e holds. f(x)=√√22-x, L= 3, c = 13, ε = 1 For what open interval does the inequality f(x) - L<e hold? (Simplify your answer. Type your answer in interval notation.) Find the largest value 8 >0 such that for all x satisfying 0 <|x-c| <8 the inequality |f(x) - L<e holds. 8= (Simplify your answer.) C