C. CONTINUITY AND DISCONTINUITY 1. One-sided limits We begin by expanding the notion of limit to include what are called one-sided limits, where z approaches a only from one side - the right or the left. The terminology and notation is:. right-hand limit lim f(x) (z comes from the right, x > a) left-hand limit lim f(z) (x comes from the left, z 0. ,*---+ X-00+ Example 3. li -1 = oo, lim -1 = -oo -_O0+ X 2--0- 2

# Limits and Continuity

C. CONTINUITY AND DISCONTINUITY 1. One-sided limits We begin by expanding the notion of limit to include what are called one-sided limits, where z approaches a only from one side - the right or the left. The terminology and notation is:. right-hand limit lim f(x) (z comes from the right, x > a) left-hand limit lim f(z) (x comes from the left, z 0. ,*---+ X-00+ Example 3. li -1 = oo, lim -1 = -oo -_O0+ X 2--0- 2

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