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Results tagged with limits-and-convergence
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user 82379
Convergence of series, sequences and functions and different modes of convergence.
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Uniform lower bound on a sequence of functions on $[0,1]$
Consider the sequence of functions $\{F_n(\cdot)\}_{n \in \mathbb{N}}$ on $[0,1]$, where for each $n$, $F_n(\cdot)$ is defined as
\begin{equation}
F_n(x) = \sum_{i=2}^n \Big( x^{b_n} \frac{i}{(i+1)^{a …
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