integral test for convergence
test for infinite series of monotonous terms for convergence
| rdfs:label |
"integral test for convergence"@en
|
|
skos:alt |
"Maclaurin–Cauchy test"@en
|
| schema:description |
"test for infinite series of monotonous terms for convergence"@en
|
|
schema:date |
"2026-10-20T23:45:24+00:00"^^xsd:dateTime |
| schema:version | 2559413435 |
| wikibase:identifiers | 4 |
| wikibase:sitelinks | 20 |
| wikibase:statements | 11 |
| p:P11514 | wd:statement/Q1155313-c20edd96-42a3-5ece-76c8-3ad829648099 |
| p:P138 | wd:statement/q1155313-6950F27A-A8A4-4C0F-9F4A-1E9FE8ED432B |
| wd:statement/q1155313-DDFE4C0B-8CD4-4D7E-B730-4F417D95723A | |
| p:P18 | wd:statement/Q1155313-011e6a67-4261-4558-e7b1-86677ee07778 |
| p:P2534 | wd:statement/Q1155313-56fef554-441e-def9-29f5-dcb311868e3c |
| p:P2579 | wd:statement/Q1155313-93EE40CD-C846-4E4D-AB6E-B988B450DCB1 |
| p:P31 | wd:statement/Q1155313-a557f4e1-44e3-16f3-e74e-6cbd614c41e0 |
| p:P3827 | wd:statement/Q1155313-B036584C-D73A-4FDB-8F3B-0F4A4E5F7971 |
| p:P6104 | wd:statement/Q1155313-B6390F8F-2886-4D96-A09F-6976DB0DE2C1 |
| p:P6366 | wd:statement/Q1155313-857AAC62-E84B-4A09-979C-BB8ED48DDE17 |
| p:P646 | wd:statement/Q1155313-9F16A48C-0ADD-4F22-8850-2BEB1347BA72 |
|
p:direct- |
<https:/ |
| wdt:P11514 | "integral-nyi-priznak-skhodimosti-488a3a" |
| wdt:P138 | Colin MacLaurin |
| Augustin-Louis Cauchy | |
| wdt:P18 |
<http:/ |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline mathjax_ignore" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi mathvariant="normal">∀</mi><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">∈</mo><msub><mrow data-mjx-texclass="ORD"><mi>ℝ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">≥</mo><mn>0</mn></mrow></mrow></msub><mo stretchy="false" data-mjx-texclass="PUNCT">:</mo><mi>x</mi><mo stretchy="false">≤</mo><mi>y</mi><mstyle scriptlevel="0"><mspace width="0.278em"></mspace></mstyle><mo>⟹</mo><mstyle scriptlevel="0"><mspace width="0.278em"></mspace></mstyle><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">≤</mo><mi>f</mi><mo stretchy="false">(</mo><mi>y</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow><mstyle scriptlevel="0"><mspace width="0.278em"></mspace></mstyle><mo>⟹</mo><mstyle scriptlevel="0"><mspace width="0.278em"></mspace></mstyle><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><munderover><mo movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo stretchy="false">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover><mi>f</mi><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo><mo><</mo><mi mathvariant="normal">∞</mi><mstyle scriptlevel="0"><mspace width="0.278em"></mspace></mstyle><mo>⟺</mo><mstyle scriptlevel="0"><mspace width="0.278em"></mspace></mstyle><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></msubsup><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>x</mi><mo><</mo><mi mathvariant="normal">∞</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P2579 | calculus |
| wdt:P31 | theorem |
| wdt:P3827 | "integral-test" |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "144370509" |
| wdt:P646 | "/m/02bfm7" |
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