Check whether the following statements are TRUE or FALSE. 8 (1) 17 Σ an is conditionally convergent, then lan is convergent. n=1 n=1 The statement (i) is true. (ii) If an+1 an - 1 3+1 3" +n+1' ∞ The statement (ii) is false. then an is convergent by Ratio Test. n=1
Which statement is TRUE? O O 7=] iM8 IM8 n=1 n=1 n=1 n=1 n+1 n² +n +1 n+1 n² +n +1 n+1 n² +n +1 n+1 n² +n +1 n+1 n² +n +1 converges by Root Test. diverges by Ratio Test. diverges by Limit Comparison Test compared with n+1 noon² +n +1 converges because lim = 0. ∞ n=1 diverges by Direct Comparison Test compared with 8 7=1 n n
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