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Is the following series cos n convergent or divergent? Prove your result. 2 if Σ an with an > o is convergent, then is Σ a.. always convergent? Either prove it or give a counter example. 3 Is the following series convergent or divergent? if it is divergent, prove your result; if it is convergent, estimate the sum. 4 Is the following series 2n3 +2 nal convergent or divergent? Prove your result.
Determine if absolutely convergent, conditionally convergent or divergent: 2" Σ(-1 /n 9. n-1 0-1 Determine if absolutely convergent, conditionally convergent or divergent: 2" Σ(-1 /n 9. n-1 0-1
2-15 Determine whether the series is convergent or divergent. 1 2. Σ 1.0001 3. Σ 1-0.00 n=5 η n=1 σο 2 3 4. Σ 5. Σ (1) ده است + ηψη 3 n=1 1 1 6. Σ 7. Σ η=5 (η – 4)? 2n + 3 n=1
(-1)-1 n2 is absolutely convergent. 1. (2 points) Prove that cos n is convergent or divergent. 2. (2 points) Determine whether the series - (Use cos n<1 for all n) 3. (3 points) Test the series -1) 3 for absolute convergence. (Use the Ratio Test) 2n +3) 4. (3 points) Determine whether the series converges or diverges. 3n +2 n-1 (Use the Root Test) 5. (3 points) Find R and I of the series (z-3) 1 Find a power series...
6. Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (a)Σ (-1)* (b)Σ (16 pts.) 3, 2k +1 k k=1 k=1
Question 6 (9 points) Determine whether the series Σ n=1 2n4+2n2+2" is convergent or divergent. Conditionally Convergent Divergent Non of the above O Convergent
divergent 3. Using comparison test determine whether the following series is convergent or 21/n OC (a) n=1 ( b) Σ n n2-cos2 n ( c) Σ e n =1 n2+cos2 n n 2 =1_2n ( d) Σ ( e) Σ n n n=1 divergent 3. Using comparison test determine whether the following series is convergent or 21/n OC (a) n=1 ( b) Σ n n2-cos2 n ( c) Σ e n =1 n2+cos2 n n 2 =1_2n ( d) Σ...
Determine whether the geometric series is convergent or divergent. 00 3 mn n=1 convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
Use the Ratio Test to determine whether the series is convergent or divergent. 00 Σ n=1 Identify an Evaluate the following limit. lim an + 1 an Since lim an+ 1 an ? 1, --Select---
Determine whether the series is convergent or divergent. ∞ (1 + 3^n) / 8^n n = 1 3.33/6.66 points v Previous Answers V SCALCETS 11.2.511.XP. Determine whether the series is convergent or divergent. 1 + 3n 80 I=1 O convergent O divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) Submit Answer