Golden Real Analysis |
Contents
Chapter | 108 |
1 | 150 |
2 | 205 |
1 | 212 |
68 | 276 |
4 | 313 |
Arbitrary Series and Infinite Products | 457 |
Maxima and Minima | 800 |
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Common terms and phrases
a₁ absolutely convergent an+1 b₁ Cauchy product Cauchy's Cauchy's root test closed interval closed set comparison test converge or diverge cos² decreasing sequence derivable dx is convergent element exists a positive f f(x f is continuous fn(x given ɛ given series Hence the given improper integral infimum infinite discontinuity Let ɛ Let f lim f(x lim x→0 limit point log log Lt f(x m₁ Mean Value Theorem monotonically decreasing n²x² natural number one-one open interval open set partition point of infinite positive integer positive terms Proof Prove ratio test rational numbers real number Rolle's theorem S₁ series is convergent Show sin² sinx sub-interval subset Sun is convergent Un+1 uniformly convergent upper bound Vn+1 x₁ δα ε ε λΕΛ π π