A Listen From the list below, select all TRUE statements. (But do not select any false statements!) The interval of convergence of a power series always contains at least one point. According to the Integral Test, if the function f (X ) satisfies the three conditions of the test, and if the improper integral J converges, then Enif (n) = fif(x) dr. If the series _n-1 an converges, then lim an = 0 By definition, an infinite series is called convergent if and only if the sequence of its partial sums has a limit. Every bounded monotone sequence converges. The partial fraction decomposition of I? (12+3) has the form BE+C I' (1' 43) 2 2 + 1 2 + 3d x is an improper integral. On . ()" is a geometric series with the common ratio T = 3 O 2 x - 2 In + C x2 - 2x if lim an = 0, then the series _ _] an converges. If the terms of a series En-o (-1) " bn have strictly alternating signs, but the sequence of the numbers { bn} is not monotone decreasing, then according to the Alternating Series Test this series diverges. Previous Page Next Page Page 12 of 18