Difference between revisions of "Delta differentiable implies continuous"

From timescalewiki
Jump to: navigation, search
Line 1: Line 1:
 
<div class="toccolours mw-collapsible mw-collapsed" style="width:800px">
 
<div class="toccolours mw-collapsible mw-collapsed" style="width:800px">
<strong>[[Delta derivative implies continuous|Theorem]]:</strong> If $f$ is $\Delta$-differentiable at $t$, then $f$ is [[continuity | continuous]] at $t$.
+
<strong>[[Delta derivative implies continuous|Theorem]]:</strong> If $f$ is [[Delta derivative|$\Delta$-differentiable]] at $t$, then $f$ is [[continuity | continuous]] at $t$.
 
<div class="mw-collapsible-content">
 
<div class="mw-collapsible-content">
 
<strong>Proof:</strong>  █  
 
<strong>Proof:</strong>  █  
 
</div>
 
</div>
 
</div>
 
</div>

Revision as of 18:46, 21 March 2015

Theorem: If $f$ is $\Delta$-differentiable at $t$, then $f$ is continuous at $t$.

Proof: