1549901369-Elements_of_Real_Analysis__Denlinger_

elementary, 536 extension of, 264 graph of, 624 greatest integer, 208 , 241, 243, 396 integer floor, see greatest inte- ger f. 2 ...

732 Index of a sequence, 82, 100 integer floor function, see greatest integer f. 208 integers, 4, 28 of an ordered field F, 28 i ...

one-sided, 203 vs. one-sided limit, 206, 207 limit of a sequence, 52, 61, 64 lower (inferior), 132 , 133 upper (superior), 131, ...

734 Index nth root existence of, 253 function, 275 nth term of a sequence, 50 odd function, 314, 401 one-sided continuity, 237 o ...

rational expression in x, 35 rational functions, 195 asymptotes of, 221 - 222 continuity of, 228 limits of, 195, 221-222 rationa ...

736 Index set(s) of real numbers boundary of, 142 Cantor set, 164, 270, 444 , 450 Cantor-like, 172, 174 closed, 146 closure of, ...

of inequalities, 13 triangle inequalities, 18, 481 trigonometric functions continuity of, 233 defined using integrals, 428 defin ...

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