A. Convergent geometric series B. Convergent p series C. Integral test D. Comparison with a convergent p series E. Converges by limit comparison test F. Converges by alternating series test 1. 2. 3. n=1 IΜ8 M8 M³ ÌM³ ÌM³ IM 4. Σ n=2 5. Σ n=1 sin²(4n) n² (-1)" 7n +4 n² + In(n) n² - 9" 7 n(ln(n))² (cos(nл)) In(2n) 6.Σ(-1)" √ n=1 n+8

Q: 8. The Maclaurin series for f(x) = ln(1 + 2) is given by (-1)-1 n for -1 < x≤ 1. (a) n=1 Write the…

A:

Q: (-1)" (n² + 2)10 00 13. Verify that the alternating series test applies to the series S = > Then use…

A: First, we need to verify that the alternating series test applies to the given series. So,

Q: Choose all appropriate answers: The series (-1)" n + 16 3n2 - 32n + 14 n=1 converges diverges and…

A: here we use the generalized ratio test  so option (a) is true  and by ratio test

Q: Use the equation = £ * 1 6. in a power series with center c = 0. x" for |x| < 1 to expand the…

A: The complete solution is in given below

Q: Use the power series 1 2(-1)" x" to determine a power series, centered at 0, for the function. 1+x…

A:

Q: A. Convergent geometric series B. Convergent p series C. Comparison (or Limit Comparison) with a…

A:

Q: 1 + + 1 Find the sum of the series + +... if it converges. 9 18 36 72 144 O A. The series is…

A: Given: 19+118+136+172+1144+⋯ a1=19, a2=118, a3=136,.. where , a1, a2, a3,... are first term , second…

Q: A. Convergent geometric series B. Convergent p series C. Comparison (or Limit Comparison) with a…

A: Note: As per the guidelines will be solving only 1st three subparts. Please repost for remaining.…

Q: Σ 22η n=1

A:

Q: 1. In(6n) n4 - 2 3. n(In(n))2 %3D2 4. 1 5. nyn sin (4n) 6. n2 n=1 2.

A: We use different kind of series convergent set.