Difference between revisions of "Delta differentiable implies continuous"
From timescalewiki
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==References== | ==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 | + | * {{BookReference|Dynamic Equations on Time Scales|2001|Martin Bohner|author2=Allan Peterson|prev=Delta derivative|next=Delta derivative at right-scattered}}: Theorem 1.16(i) |
[[Category:Theorem]] | [[Category:Theorem]] | ||
[[Category:Unproven]] | [[Category:Unproven]] | ||
Revision as of 05:24, 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(i)
