Find limits of sequences II
Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 7 Exercise 7.3 Solution: (a) Converges. Limits is 1. (b) Converges. Limits is 1. (c) Converges. Limits is 0.…
Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 7 Exercise 7.3 Solution: (a) Converges. Limits is 1. (b) Converges. Limits is 1. (c) Converges. Limits is 0.…
Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 7 Exercise 7.2 Solution: (a) Converges. Limits is 0. (b) Converges. Limits is $3/4$. See Example 2,$$\frac{3n+1}{4n-1}=\frac{3+\frac{1}{n}}{4-\frac{1}{n}}.$$ (c) Converges.…
Solution to Elementary Analysis: The Theory of Calculus Second Edition Section 7 Exercises 7.1 Solution: (a) $s_1=1/4$, $s_2=1/7$, $s_3=1/10$, $s_4=1/13$, $s_5=1/16$. (b) $b_1=4/3$, $b_2=1$, $b_3=10/11$, $b_4=13/15$, $b_5=16/19$. (c) $c_1=1/3$, $c_2=2/9$,…