2.1 Evaluate: lim (1+3x2)5 cotx cot x+2cosecr 0-x 2.2 Test the following series for convergence: a. 3 + 1 - n); b. n=1 1 3 5 7 + + + + 1.2.3 2.3.4 3.4.5 4.5.6 2.3 Find the sum of the infinite series: 1 5 5.8 5.8.11 + + + + 6 6.12 6.12.18 6.12.18.24 2.4 Let [x] denote the largest integer less than, or equal to, r = R. Find the points of discontinuity (if any) of the following functions: a. f(x) = [x2] sinx, x>0; b. f(x) = [x] + (x [x])], x > 1/2. - 2.5 Pick out the uniformly continuous functions: a. f(x) = cos x cos, x =]0, 1[; b. f(x)=sin x cos, x =]0, 1[; == c. f(x) = sin x, x = [0, [; 2.6 Evaluate: n kek, x = R\{0}. Acti