Unformatted text preview: x = 0 e) How must you redeﬁne the function at your removable point(s) of discontinuity in order to make the function continuous there? Deﬁne f (2) =3 / 8 2. Try to draw the graph of a function having the following properties: It is deﬁned for all real x ; the limit at x = 2 exists, but f is discontinuous there; the limit at x =2 does not exist, but the right and left limits do; the limits at inﬁnity both exist, but are different; f has an inﬁnite discontinuity at x = 0 ....
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 Spring '08
 Smith
 Calculus, Limits, Continuous function, Limit of a function, Classification of discontinuities

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