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2 x² + 2x + 2 if x < 10 20 if x = 10 -6x + 5 otherwise Show that f(x) has a jump discontinuity at x = 10 by calculating the limits from the left and right at x 10. 45 Let f(x) = lim_ f(x) x-10- lim f(x) x→10+ = = - -2

2 x² + 2x + 2 if x < 10 20 if x = 10 -6x + 5 otherwise Show that f(x) has a jump discontinuity at x = 10 by calculating the limits from the left and right at x 10. 45 Let f(x) = lim_ f(x) x-10- lim f(x) x→10+ = = - -2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. x→a 2. lim f(x) exists. x→a+ 3. The left and right limits are not equal. Let f(x) = 20 -6x + 5 otherwise Show that f(x) has a jump discontinuity at x = 10 by calculating the limits from the 10. left and right at x lim_ƒ(x) 45 x→10- x²+2x+2 lim f(x) x 10+ = if x < 10 if x = 10 -2 Now for fun, try to graph f(x).
Transcribed Image Text:A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. x→a 2. lim f(x) exists. x→a+ 3. The left and right limits are not equal. Let f(x) = 20 -6x + 5 otherwise Show that f(x) has a jump discontinuity at x = 10 by calculating the limits from the 10. left and right at x lim_ƒ(x) 45 x→10- x²+2x+2 lim f(x) x 10+ = if x < 10 if x = 10 -2 Now for fun, try to graph f(x).
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