Top network posts

• 20 Sequence of monotone functions converging to a continuous limit, is the convergence uniform?
• 17 Showing that $\sum_{k=0}^{\infty} a^{k} \cos(kx) = \frac{1- a \cos x}{1-2a \cos x + a^{2}}$ without using complex variables
• 13 How to show that this limit is tend to zero?
• 11 Orthonormal Sets in Hilbert Spaces
• 11 if $AB\neq 0$ for any non zero matrix $B$ then $A$ is invertible
• 11 Show that $\left(1+\dfrac{x}{n}\right)^n \to e^x$ as $n \to \infty$ in a normed ring $R$
• 10 in a topological space only finite subsets are compact sets
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