# 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