1549901369-Elements_of_Real_Analysis__Denlinger_

of inequalities, 13
triangle inequalities, 18, 481
trigonometric functions
continuity of, 233
defined using integrals, 428
defined using series, 538
derivatives of, 313 , 540
truth set of a propositional func-
tion, 614

uncountable set, 126

uniform Cauchy criterion, 551, 553

uniform continuity, 257

uniform convergence, 550, 552

uniformly bounded, 552

union of sets, 614 , 615, 61 ,7

uniqueness of limits

for functions, 184

for sequences, 63

universal set, 614

upper bound, 35

least, 37

Index 737

upper Darboux integral, 363

upper Darboux sum, 361

upper limit of a sequence, 131

vector space, 499, 543, 629

vertical line test, 624

Weierstrass

approximation theorem, 572 - 577

continuous, nowhere differentiable

function, 569-572

M-test, 553

well ordering property, 25