File:Converging Sequence example.svg

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Summary

This plot of the first 25 terms of the converging sequence <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d534be5608fbae7b3413812922b050df6d9f1eca" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -2.671ex; width:13.113ex; height:6.343ex;" alt="{\displaystyle \left\{{\frac {n+1}{2n^{2}}}\right\}_{n=1}^{\infty }}"> illustrates visually what it means for a sequence to converge. The limit of convergence here is 0.

Licensing

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File history

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Date/TimeThumbnailDimensionsUserComment
current02:18, 9 January 2017Thumbnail for version as of 02:18, 9 January 2017586 × 474 (33 KB)127.0.0.1 (talk)This plot of the first 25 terms of the converging sequence <span><span class="mwe-math-mathml-inline mwe-math-mathml-a11y mw-math-element" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><msubsup><mrow><mo>{</mo><mrow class="MJX-TeXAtom-ORD"><mfrac><mrow><mi>n</mi><mo>+</mo><mn>1</mn></mrow><mrow><mn>2</mn><msup><mi>n</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo>}</mo></mrow><mrow class="MJX-TeXAtom-ORD"><mi>n</mi><mo>=</mo><mn>1</mn></mrow><mrow class="MJX-TeXAtom-ORD"><mi mathvariant="normal">∞<!-- ∞ --></mi></mrow></msubsup></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle \left\{{\frac {n+1}{2n^{2}}}\right\}_{n=1}^{\infty }}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d534be5608fbae7b3413812922b050df6d9f1eca" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -2.671ex; width:13.113ex; height:6.343ex;" alt="{\displaystyle \left\{{\frac {n+1}{2n^{2}}}\right\}_{n=1}^{\infty }}"></span> illustrates visually what it means for a sequence to converge. The limit of convergence here is 0.
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