Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Recall that a function f(x) is continuous at a value x = a if 1. the limit of f(x) as x approaches a exists 2. the limit of f(x) as x approaches a equals f(a). Given the piecewise defined function 8(x) = {1x! + k, if x < 3 x², if x ≥ 3 what value of k makes g(x) continuous at x=3?
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Transcribed Image Text:Recall that a function f(x) is continuous at a value x = a if 1. the limit of f(x) as x approaches a exists 2. the limit of f(x) as x approaches a equals f(a). Given the piecewise defined function 8(x) = {1x! + k, if x < 3 x², if x ≥ 3 what value of k makes g(x) continuous at x=3?
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