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6. [3/4 Points] DETAILS PREVIOUS ANSWERS LARCALC11 9.2.044. Consider the following repeating decimal. 0.4% (a) Write the repeating decimal as a geometric series. 0.4E= + film ix (1/100 w ) n=0 (b) Write the sum of the series as the ratio of two integers. Need Help? 3. [1/2 Points] DETAILS PREVIOUS ANSWERS LARCALC11 9.3.503.XP. Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 1 1+ + + +... P=x O converges diverges V Need Help? 4. [0/1 Points] DETAILS PREVIOUS ANSWERS LARCALC11 9.3.047. Find the positive values of p for which the series converges. (Enter your answer using interval notation.) 00 n 2 (1 + n2)P n=1 [2,7] x Need Help? _ 6. [0/1 Points] DETAILS PREVIOUS ANSWERS LARCALC11 9.3.066. Find the sum of the series. In 1 - n = 2 -0.6831 X Need Help? Read It 7 [2/2 Points] DETAILS PREVIOUS ANSWERS LARCALC11 9 3 0153. [\"2 Points] DETAILS PREVIOUS ANSWERS LARCALC11 9.4.020. Use the Limit Comparison Test to determine the convergence or divergence of the series. 00 4\"+1 7\"+1 n=1 4\"+1 converges O diverges q/ Need Help? 4. [I2 Points] DETAILS LARCALC11 9.4.026. Use the Limit Comparison Test to determine the convergence or divergence of the series. 0 converges O diverges Need Help? 5. [0/2 Points] DETAILS PREVIOUS ANSWERS LARCALC11 9.5.508.XP.M|. Approximate the sum of the series by using the first six terms. (Round your answers to four decimal places.) 00 1n8 Z ' ,3 n=0 x e s e x Need Help? ___ 5. [1/2 Points] DETAILS PREVIOUS ANSWERS LARCALC11 9.6.044.MI. Use the Root Test to determine the convergence or divergence of the series. (If you need to use co or -co, enter INFINITY or -INFINITY, respectively.) 00 E -50 \\3n 4n + 1 n = 1 lim V lal = 1.9531 X n - 00 O converges O diverges O inconclusive Need Help? Read It Master It3. [0/2 Points] DETAILS PREVIOUS ANSWERS LARCALC11 9.10.021. Use the binomial series to find the Maclaurin series for the function. (Use -2n)! for 1 . 3 . 5 .. . (2n - 1).) 20n! 1 f ( x ) = V1 - x3 f ( x ) = 1+ E (2n)! r .3n n = 1 n!2n X Need Help? Read It