• Left and Right Theorem ⪢⪢
⎾lim f(x)⏐x→a⏌= L ⇔ ⎾lim f(x)⏐x→a⁻⏌=⎾lim f(x)⏐x→a⁺⏌= L
http://qindex.info/i.php?x=4993
• Left and Right Theorem ⪢⪢
f is continuous at c if and only if f is both left-continuous and right-continuous at c.
http://qindex.info/i.php?x=4994
○○○ 5.1.6 Left and Right Theorem ⪢⪢
⎾lim f(x)⏐x→a⏌= L ⇔ ⎾lim f(x)⏐x→a⁻⏌=⎾lim f(x)⏐x→a⁺⏌= L
http://qindex.info/i.php?x=3421
○○○ 5.2.3 Left and Right Theorem ⪢⪢
f is continuous at c if and only if f is both left-continuous and right-continuous at c. If ⎾lim f(x)⏐x→c⁻⏌ exists and equals f(c) then f is left-continuous at c. If ⎾lim f(x)⏐x→c⁺⏌ exists and equals f(c) then f is right-continuous at c.
http://qindex.info/i.php?x=5123
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