# a Find the limit of the sequence, b use the definition to...

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WA 4, p. 1 Name: Nina Odunlami University ID: 0653999 Thomas Edison State University Calculus II (MAT-232) Section no.: 2018NOV MAT-232-OL011 2018NOV Calculus II (MAT-232-OL011) Semester and year: NOVEMBER 2018 Written Assignment 4 Answer all assigned exercises, and show all work. Each exercise is worth 4 points. Section 8.1 2. Write out the terms 1 2 6 , , , a a a of the sequence. 3 4 n a n n a 3 4 n a n Value 1 a 3 1 4 3 5 2 a 3 2 4 1 2 3 a 3 3 4 3 7 4 a 3 4 4 3 8 5 a 3 5 4 1 3 6 a 3 6 4 3 10
8. (a) Find the limit of the sequence, (b) use the definition to show that the sequence converges, and (c) plot the sequence on a calculator or CAS.
12. Determine whether the sequence converges or diverges.
WA 4, p. 3 18. Determine whether the sequence converges or diverges. cos n a n can be -1 or 1; divergent 20. Determine whether the sequence converges or diverges. cos n n n a e cos 1 cos 1 n n n n n n n a e e e e for all n 1 1 lim 0 lim n n n n e e   cos lim 0 n n n e  ; convergent Section 8.2 4. Determine whether the series converges or diverges. For convergent series, find the sum of the series. 0 1 4 2 k k 1 2 r 1 r ; converges Converges to 4 4 8 1 1 1 1 2 2 a r
8. Determine whether the series converges or diverges. For convergent series, find the sum of the series.
WA 4, p. 4