## Computing Limits I – Limits and Continuity

Posted: 29th November 2012 by seanmathmodelguy in Lectures

Computing  Limits I In order to compute a limit algebraically, one needs to know what is and more importantly what is not allowed when manipulating limits. For example consider computing$\lim_{x\to 1}\frac{x^2-1}{x-1}.$One cannot just substitute $$x=1$$ into this expression because doing so results in the indeterminate form $$0/0$$. By factoring the top of the […]