View source for Limit of Hilger real and imag parts yields classical

==Theorem==
The following formula holds:
$$\displaystyle\lim_{h \rightarrow 0^+} \left[ \mathrm{Re}_h(z) + \mathring{\iota} \mathrm{Im}_h(z) \right] = \mathrm{Re}(z) + i \mathrm{Im}(z),$$
where $\mathrm{Re}_h$ denotes the [[Hilger real part]] of $z$ and $\mathrm{Im}_h$ denotes the [[Hilger imaginary part]] of $z$.

==Proof==

==References==

[[Category:Theorem]]
[[Category:Unproven]]