Sketch a function that clearly satisfies all of the conditions below.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Sketch a function that clearly satisfies all of the conditions below.
Transcribed Image Text:Sketch a function that clearly satisfies all of the conditions below.
(i) lim f(x) = 1,
-0←x
(iv) lim f(x) = 1,
x→2+
(ii) lim f(x) = -1, (iii) lim f(x) = 0,
x →0+
x→2-
(v) ƒ(2) = 1, (vi) f(0) is undefined
(vii) The domain of f is all reals except x =
= 0.
Transcribed Image Text:(i) lim f(x) = 1, -0←x (iv) lim f(x) = 1, x→2+ (ii) lim f(x) = -1, (iii) lim f(x) = 0, x →0+ x→2- (v) ƒ(2) = 1, (vi) f(0) is undefined (vii) The domain of f is all reals except x = = 0.
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