File:Continuity of the Exponential at 0.svg
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Size of this PNG preview of this SVG file: 633 × 460 pixels. Other resolution: 320 × 233 pixels.
Original file (SVG file, nominally 633 × 460 pixels, file size: 26 KB)
Summary
This plot shows that <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d6ea04bc7a5acfd039450cc33e32e492e1bc7034" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -2.505ex; width:31.007ex; height:6.176ex;" alt="\lim_{n\to\infty} \exp\left(\frac 1n\right) = \exp\left(\lim_{n\to\infty} \frac 1n\right)">.
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 11:01, 13 January 2017 | | 633 × 460 (26 KB) | 127.0.0.1 (talk) | This plot shows that <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"><munder><mo movablelimits="true" form="prefix">lim</mo><mrow class="MJX-TeXAtom-ORD"><mi>n</mi><mo stretchy="false">→<!-- → --></mo><mi mathvariant="normal">∞<!-- ∞ --></mi></mrow></munder><mi>exp</mi><mo><!-- --></mo><mrow><mo>(</mo><mrow class="MJX-TeXAtom-ORD"><mfrac><mn>1</mn><mi>n</mi></mfrac></mrow><mo>)</mo></mrow><mo>=</mo><mi>exp</mi><mo><!-- --></mo><mrow><mo>(</mo><munder><mo movablelimits="true" form="prefix">lim</mo><mrow class="MJX-TeXAtom-ORD"><mi>n</mi><mo stretchy="false">→<!-- → --></mo><mi mathvariant="normal">∞<!-- ∞ --></mi></mrow></munder><mrow class="MJX-TeXAtom-ORD"><mfrac><mn>1</mn><mi>n</mi></mfrac></mrow><mo>)</mo></mrow></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle \lim _{n\to \infty }\exp \left({\frac {1}{n}}\right)=\exp \left(\lim _{n\to \infty }{\frac {1}{n}}\right)}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d6ea04bc7a5acfd039450cc33e32e492e1bc7034" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -2.505ex; width:31.007ex; height:6.176ex;" alt="\lim_{n\to\infty} \exp\left(\frac 1n\right) = \exp\left(\lim_{n\to\infty} \frac 1n\right)"></span>. |
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