convergence or divergence of Series
MathJax TeX Test Page Part sum of Series has limit If $Sn = \sum_{k=1}^{n} a_k$
linear algebra
MathJax TeX Test Page $$ \begin{bmatrix} a & b\\ c & d \end{bmatrix} $$
Partial derivative practice
MathJax TeX Test Page March 2023 3.19
Lim practice
MathJax TeX Test Page Success is not final, failure is not fatal: it is the courage to continue that counts March 2023 3.19 Question: $ \lim_{x\to 0} \frac{1}{x} – \frac{1}{e^x-1} $ $$ \begin{equation} \begin{split} & \lim_{x\to 0} (\frac{1}{x}- \frac{1}{e^x-1}) \\\\ = & \lim_{x\to 0} \frac{e^x-1-x}{x(e^x-1)} \qquad & (\lim_{x\to 0} e^x-1-x\rightarrow 0, \lim_{x\to 0} x(e^x-1)\rightarrow 0)\\\\ …