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Results tagged with limits-and-convergence
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user 24169
Convergence of series, sequences and functions and different modes of convergence.
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Uniform convergence of a series to exponent [closed]
I'm trying to prove that in the complex plane $\left(1+\frac{z}{n}\right)^n$ converges uniformly to $e^z$ in every closed disc $|z|\leq c$. I thought about showing the sequence as a logarithm of somet …
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