# 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 |

[[Category:Theorem]] | [[Category:Theorem]] | ||

[[Category:Unproven]] | [[Category:Unproven]] |

## Revision as of 05:19, 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