How to prove the map is continuous?(Stein's complex analysis Chapter3 exercise 16)
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Exercise 16 from chapter 3 of Stein & Shakarchi's complex analysis
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Proof verification: the product of two continuous functions is continuous
152328
A continuously differentiable map is locally Lipschitz
115781
Proof about Holomorphic functions in the unit disc
130023
Prove that the sum of two continuous functions is continuous
40576
Intermediate value property problem and continuous function
72644
Continuous injective map $f:\mathbb{R}^3 \to \mathbb{R}$?
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Real Analysis: Continuity of a Composition Function
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Uniqueness of continuous extension from $A$ to $\overline{A}$ for maps into a Hausdorff space
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Is $p\mapsto \|f\|_p$ continuous?
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proof $f(\overline{A})\subseteq \overline{f(A)} \Leftrightarrow f$ continuous
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Prove or disprove the uniform continuity of $f: \mathbb{C} \to \mathbb{C}, z \mapsto f(z)=\frac{z^2}{1+|z|}$
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A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous
58664
Proving a function is continuous for a fixed variable
52388
The equivalence of open-set definition of continuous mappings to the $\epsilon-\delta$ definition
39235
Argue that the iterated integral of a continuous function is continuous
15914
Prove that any polynomial function is continuous