2. Find the discontinuities, if any, for the following functions. For each discontinuity, indicate if it is removable or non-removable. Using MAPLE, verify your results graphically, then confirm your results algebraically by evaluating the appropriate limit. x -x (a) f(x)= x²+x-2 (b) f(x) = x²-2, 5, 8x-5, x<-2 -2≤x≤0 x>0 write (-2<=x and x<=2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Find the discontinuities, if any, for the following functions. For each discontinuity, indicate if it is
removable or non-removable. Using MAPLE, verify your results graphically, then confirm your results
algebraically by evaluating the appropriate limit.
x²-x
(a) f(x)=
x²+x-2
(b) f(x) =
x²-2,
5,
8x - 5,
x<-2
-2 ≤x≤0
x > 0
write (-2<=x and x<=2)
Transcribed Image Text:2. Find the discontinuities, if any, for the following functions. For each discontinuity, indicate if it is removable or non-removable. Using MAPLE, verify your results graphically, then confirm your results algebraically by evaluating the appropriate limit. x²-x (a) f(x)= x²+x-2 (b) f(x) = x²-2, 5, 8x - 5, x<-2 -2 ≤x≤0 x > 0 write (-2<=x and x<=2)
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