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1. Determine where each of the following functions are continuous. x2 - 3x - 10 a. f(x) = %3D x2 - 25 2x b. f(x) = ex - 8 2x -1 if x<-1 2. Use the definition of continuity to determine if f(x) = if x = -1 is continuous at x = -1. -3 x +2 ifx>-1

1. Determine where each of the following functions are continuous. x2 - 3x - 10 a. f(x) = %3D x2 - 25 2x b. f(x) = ex - 8 2x -1 if x<-1 2. Use the definition of continuity to determine if f(x) = if x = -1 is continuous at x = -1. -3 x +2 ifx>-1

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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1. Determine where each of the following functions are continuous. x2 - 3x - 10 x2 - 25 a. f(x) = 2x b. f(x) = e?x - 8 2x - 1 if x< -1 if x = -1 x +2 if x>-1 2. Use the definition of continuity to determine if f(x) = is continuous at x = -1. -3
Transcribed Image Text:1. Determine where each of the following functions are continuous. x2 - 3x - 10 x2 - 25 a. f(x) = 2x b. f(x) = e?x - 8 2x - 1 if x< -1 if x = -1 x +2 if x>-1 2. Use the definition of continuity to determine if f(x) = is continuous at x = -1. -3
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