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1、Chapter 8 Infinite Series,8.3 Infinite Series,8.1 Limits of Sequences of Numbers,8.2 Subsequences,Bounded Sequences,and,8.4 Series of Nonnegative Terms,8.5 Alternating Series,Absolute and Conditional Convergence,8.6 Power Series,8.7 Taylor and Maclaurin Series,8.8 Applications of Power Series,8.3,In
2、finite Series(无穷级数),Example 2.Consider the Geometric series,Solution.,Consider the partial sum,Example 2.Consider the Geometric series,Solution.,If,If,diverge.,converge.,diverge.,Example 3.Consider the Geometric series,diverge.,Example 4.Express the repeating decimal 5.2323As the ratio of two intege
3、rs.,Solution.,Solution.,Example 5.Find the sum of the series,Solution.,Example 6.Find the sum of the series,Proof.,Example 7.Applying the nth-term test,converges?,Example 8.,Analysis.,Diverges!,Example 9.Applying the Theorem 7.,Example 10.Applying the Theorem 7.,Exercises,P637 2,4,11,12,14,15,21 25,26,27,35,45.,
