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Results tagged with limits-and-convergence
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user 98736
Convergence of series, sequences and functions and different modes of convergence.
0
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3
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249
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Convergence series
Suppose for a fixed $s$, $(a_k)$ is a given sequence with $a_k>0$, $\sum_{k=1}^\infty a_kk^s<\infty$, but for any $\epsilon>0$, $\sum_{k=1}^\infty a_kk^{s+\epsilon}=\infty$. Can we conclude that there …
- 39
2
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2
answers
672
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Convergence of Positive definite matrix
I sign up this website for this question. Suppose I have a vector 1 (all elements are 1) with $11^T-B$ positive definite, where $B$ is symmetric non-negative matrix (all elements are greater or equal …
- 39