generated from smyalygames/quartz
7 lines
436 B
Markdown
7 lines
436 B
Markdown
# Definition
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We say that $L \in \mathbb{C}$ is the limit of a [[Complex Functions|function]] ($f : D \to \mathbb{C}$), $f$ at $z_{0} \in \mathbb{C}$ if the following holds:
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For every $\varepsilon \gt 0$ there exists $\delta \gt 0$ such that, if $\mid z - z_{0} \mid \; < \delta$ then $\mid f(z) - L \mid \; \lt \varepsilon$.
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(Then we write $L = \lim_{ z \to z_{0} } f(z)$)
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Observe that this uses the absolute value of complex numbers. |