Difference between revisions of "Delta differentiable implies continuous"
From timescalewiki
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| − | + | ==Theorem== | |
| − | + | If $f$ is [[Delta derivative|$\Delta$-differentiable]] at $t$, then $f$ is [[continuity | continuous]] at $t$. | |
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| − | + | ==References== | |
| + | * {{BookReference|Dynamic Equations on Time Scales|2001|Martin Bohner|author2=Allan Peterson|prev=Delta derivative|next=Delta derivative at right scattered}}: Theorem 1.16 | ||
| + | |||
| + | [[Category:Theorem]] | ||
| + | [[Category:Unproven]] | ||
Revision as of 05:13, 10 June 2016
Theorem
If $f$ is $\Delta$-differentiable at $t$, then $f$ is continuous at $t$.
Proof
References
- Martin Bohner and Allan Peterson: Dynamic Equations on Time Scales (2001)... (previous)... (next): Theorem 1.16
