Series.mws Sequences Series e.g. the Geometric Series e.g. Sum(2/(n^2+3*n+2)+1/(3^n),n = 1 .. infinity); 3 quick e.g.'s. Determine the donvergence/divergence of: e.g. Find x so that S = Sum(1/(x^n),n = 1 .. infinity); converges. The Integral Test e.g. Show that the Harmonic Series diverges. e.g. Show that Sum(1/(n^2+1),n = 1 .. infinity); is convergent. The Integral Test The p-series: Sum(1/(n^p),n = 1 .. infinity); . Determine the behaviour of Sum(n*exp(1)^(-n),n = 1 .. infinity); . The Comparison Tests The Comparison Test The Limit Comparison Test