Image of the rectangle <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle (x_{0}-\delta ,x_{0}+\delta )\times (f(x_{0})-\epsilon ,f(x_{0})+\epsilon )}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mo stretchy="false">(</mo><msub><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>−<!-- − --></mo><mi>δ<!-- δ --></mi><mo>,</mo><msub><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo>+</mo><mi>δ<!-- δ --></mi><mo stretchy="false">)</mo><mo>×<!-- × --></mo><mo stretchy="false">(</mo><mi>f</mi><mo stretchy="false">(</mo><msub><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo stretchy="false">)</mo><mo>−<!-- − --></mo><mi>ϵ<!-- ϵ --></mi><mo>,</mo><mi>f</mi><mo stretchy="false">(</mo><msub><mi>x</mi><mrow class="MJX-TeXAtom-ORD"><mn>0</mn></mrow></msub><mo stretchy="false">)</mo><mo>+</mo><mi>ϵ<!-- ϵ --></mi><mo stretchy="false">)</mo></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle (x_{0}-\delta ,x_{0}+\delta )\times (f(x_{0})-\epsilon ,f(x_{0})+\epsilon )}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8eb10364bdaed0d2147eb6013fb45d93a4e6d4ca" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:39.585ex; height:2.843ex;" alt="{\displaystyle (x_{0}-\delta ,x_{0}+\delta )\times (f(x_{0})-\epsilon ,f(x_{0})+\epsilon )}"></span>. The area inside the rectangle is colored green.
<a rel="nofollow" class="external text" href="http://kulla.me">Stephan Kulla</a> (<a href="//commons.wikimedia.org/wiki/User:Stephan_Kulla" title="User:Stephan Kulla">User:Stephan Kulla</a>)
2017-02-13
<span class="int-own-work" lang="en">Own work</span>