mathjax testing by zj
The following problems require the use of the algebraic computation of limits of functions as x approaches a constant. Most problems are average. A few are somewhat challenging. All of the solutions are given WITHOUT the use of L'Hopital's Rule. If you are going to try these problems before looking at the solutions, you can avoid common mistakes by giving careful consideration to the form $\frac{"0"}{0}$ during the computations of these limits. Initially, many students INCORRECTLY conclude that $\frac{"0"}{0}$ is equal to 1 or 0 , or that the limit does not exist or is ${+}\infty$ or ${-}\infty$. In fact, the form ……
lalala ${+}$ laaa $\pm$ laaa…
here is some out-of-line $$\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6}$$ stuff and here is more $$\Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr)$$ of it
