Is the following series convergent or divergent? If it is convergent, then evaluate what the series converges to.
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Is the following series convergent or divergent? If it is convergent, then evaluate what the series...
Determine if each of the following series is convergent or divergent. If a series is convergent, find where it converges to. If divergent explain why. (a) n=1 n+(-1)" (b) . =O (c) Lo (2n-1)! (-1)", 20-4
Use the Integral Test to determine whether the series is convergent or divergent. ∞ n n2 + 8 n = 1 Evaluate the following integral. ∞ 1 x x2 + 8 dx Since the integral finite, the series is . Use the Integral Test to determine whether the series is convergent or divergent. n2 8 Evaluate the following integral. OO dx Since the integral ---Select--- finite, the series is ---Select---
Determine if each of the following series is convergent or divergent. If a series is convergent, find where it converges to. If divergent explain why. (a) 2n=1 n+(-1)" vñ 72 (b) no 2 (-1)",2n-4 (c) 00 2n=0 (2n-1)!
Use the Integral Test to determine whether the series is convergent or divergent. ∞ n n2 + 2 n = 1 Evaluate the following integral. ∞ 1 x x2 + 2 dx
7. Evaluate ſe cos x dx. 8. Is the series 2 (-)" convergent or divergent? Prove your n=1 conclusion. Be sure to mention any test you use and show that the conditions are met for that test.
4. (a) Indicate where the series is (i) absolutely convergent, n-1 where it is (ii) conditionally convergent, and where it is (iii) divergent. Justify your answers Find f,(z) if f(x) = arctan (e* ) + arcsin V2x + 4. (b) (a) Set up (but do not evaluate) a definite integral that represents the area 5. of the region R inside the circle r = 4 sin θ and outside the circle r = 2. Carefully sketch the region R. (i)...
Use the Integral Test to determine whether the series is convergent or divergent. ne-n n = 1 Evaluate the following integral. dx Since the integral --Select--- finite, the series is ---Select---
Determine whether the integral is convergent or divergent. integral_-infinty^0 1/3 - 4x dx convergent divergent If it is convergent, evaluate it. (If the quantity diverges, enter diverges.) Determine whether the integral is convergent or divergent. integral_8^infinity 1/x^2 + x dx convergent divergent If it is convergent, evaluate it. (If the quantity diverges, enter diverges.) Determine whether the integral is convergent or divergent. integral_-2^14 5/4 squareroot x + 2 dx convergent divergent If it is convergent, evaluate it. (If the quantity...
Determine whether the series is convergent or divergent. B- O convergent O divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) Need Help? Read it [0/2 points) DETAILS PREVIOUS ANSWERS SCALCETS 11.2.039. Determine whether the series is convergent or divergent. arctan(n) O convergent O divergent if it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) 1 X Read Need Help? Wixhit (-/2 Points] DETAILS SCALCETS 11.2.043. Determine whether the series is convergent...
1. Consider the series n=2 Is it divergent, conditionally convergent or absolutely convergent? Explain. 2. Suppose you know that 2n+1 sin(x) = Ž (-1)" 2** * Explain how to use this to show that cos(x) = ŽC-1) HINT: What is sin(x)?