Please solve 39 and 41 Multiple choice Which of the following statements about s
ID: 3108431 • Letter: P
Question
Please solve 39 and 41 Multiple choice Which of the following statements about series is false? (A) sigma_k = 1^n u_k = sigma_k = m^n u_k. Where m is any positive integer. (B) If sigma u_n converges, so does sigma cu_n if c notequalto 0. (C) If sigma a_n and sigma_b_n converge, so does sigma (ca_n + b_n), where c notequalto 0. (D) If 100 terms are added to a convergent series, the new series also converges. (E) Rearranging the terms of a positive convergent series will not affect its convergence or its sum. Which of the following statements is true? (A) If sigma u_n converges, then so does the series sigma |u_n|. (B) If a series is truncated after the nth term, then the error is less than the first term omitted. (C) If the terms of an alternating series decrease, then the series converges. (D) If rExplanation / Answer
39) A) is false as if we sum normal series 1+2+3+4..... upto infinity , its sum is different from that of 8+9+10+...
E) is also false as if we rearrange the terms of the series , we get a different sum ..
Rest all the statement are trye .
41) none of these can be used to find ln 0.8 as to compute it we should expand abour x=1.8