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zugzug

I'm an orc peon. If you left click on my picture and then right click on your math problem, I will help you with it.

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5 Given $x_{n} \to x_{0}$ as $n \to \infty$, and $e^{x}=\sum_{k=0}^{\infty}\frac{x^{k}}{k!}$, prove that $\lim_{n \to \infty}e^{x_{n}} = e^{x_{0}}$ Mar 13 '20
4 Argue with Taylor's formula with remainder that this holds. Oct 5 '20
4 Prove that if $A$ is an $n \times n$ matrix such that $A^{4} = 0$ then $(I_n - A)^{-1}=I_n+A+A^2+A^3$ Oct 5 '20
4 Prove that $\{a_n\}$ converges if $|a_n|\le 2$ and $|a_{n+2}-a_{n+1}|\le \frac{1}{8} |a_{n+1}^2-a_n^2|$ Nov 26 '20
4 Rewriting this Riemann sum as a definite integral Nov 28 '20
3 Fault in this proof of $\overline{\lim} (a_n+b_n) = \overline{\lim} a_n + \overline{\lim} b_n $ for bounded sequences $(a_n)$ and $(b_n)$ Nov 12 '20
3 how to prove $f_{n}$ convergence uniformly to $f(x)$ Oct 22 '20
3 Absolute value of supremums vs Supremum of absolute value Oct 22 '20
3 Laplace Transform of $(2\sinh(x))^2$ Apr 6 '20
3 Find a function with certain properties. Apr 6 '20
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