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- Title
Problems.
- Abstract
Evaluate: HT <math display="block" overflow="scroll" altimg="urn:x-wiley:00366803:media:ssm12549:ssm12549-math-0004" xmlns="http://www.w3.org/1998/Math/MathML"><msubsup><mo> </mo><mrow><mo>-</mo><mi> </mi><mo>/</mo><mn>2</mn></mrow><mrow><mi> </mi><mo>/</mo><mn>2</mn></mrow></msubsup><mfrac><mrow><mo>-</mo><msup><mi>cos</mi><mn>2</mn></msup><mi>x</mi><mi>ln</mi><mfenced open="(" close=")"><mrow><mi>cos</mi><mi>x</mi></mrow></mfenced></mrow><mrow><mn>1</mn><mo>+</mo><mi>sin</mi><mi>x</mi><mi>cos</mi><mi>x</mi></mrow></mfrac><mi mathvariant="italic">dx</mi><mo>.</mo></math> ht 5701 I Proposed by Toyesh Prakash Sharma (Student) St. C.F Andrews School, Agra, India i . Calculate HT <math display="block" overflow="scroll" altimg="urn:x-wiley:00366803:media:ssm12549:ssm12549-math-0006" xmlns="http://www.w3.org/1998/Math/MathML"><munder><mi>lim</mi><mrow><mi>n</mi><mo>-></mo><mi> </mi></mrow></munder><mi>n</mi><mfenced open="(" close=")"><mrow><mfrac><mi> </mi><mn>2</mn></mfrac><mo linebreak="goodbreak">-</mo><munderover><mo> </mo><mn>0</mn><mi>n</mi></munderover><mfrac><mrow><msup><mi>sin</mi><mn>2</mn></msup><mi>x</mi></mrow><msup><mi>x</mi><mn>2</mn></msup></mfrac><mi mathvariant="normal">d</mi><mi>x</mi></mrow></mfenced><mo>.</mo></math> ht b. Determine the convergence or divergence of the series HT <math display="block" overflow="scroll" altimg="urn:x-wiley:00366803:media:ssm12549:ssm12549-math-0007" xmlns="http://www.w3.org/1998/Math/MathML"><munderover><mo movablelimits="false"> </mo><mrow><mi>n</mi><mo>=</mo><mn>1</mn></mrow><mi> </mi></munderover><mfenced open="(" close=")"><mrow><mfrac><mi> </mi><mn>2</mn></mfrac><mo linebreak="goodbreak">-</mo><munderover><mo> </mo><mn>0</mn><mi>n</mi></munderover><mfrac><mrow><msup><mi>sin</mi><mn>2</mn></msup><mi>x</mi></mrow><msup><mi>x</mi><mn>2</mn></msup></mfrac><mi mathvariant="normal">d</mi><mi>x</mi></mrow></mfenced><mo>.</mo></math> ht.
- Subjects
REAL numbers
- Publication
School Science & Mathematics, 2022, Vol 122, Issue 6, p339
- ISSN
0036-6803
- Publication type
Article
- DOI
10.1111/ssm.12549