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problems:limitconstant [2020/02/27 12:40]
zjohnson
problems:limitconstant [2020/02/27 12:42] (current)
zjohnson
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 mathjax testing by zj 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+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  ......
    
  
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-\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6} +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
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-\Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr)+
problems/limitconstant.1582836035.txt.gz · Last modified: 2020/02/27 12:40 by zjohnson