'n n n=1

Q: Test for convergence or divergence with the Direct Comparison Test.

A: Refer to explanation section Explanation:

Q: Determine the radius of convergence and interval of convergence for the following power series (-1)"…

A: To determine the radius of convergence and interval of convergence of the power series:∑((-1)^n…

Q: n=D1 n6 +2

A:

Q: Test for absolute convergence, or directe. ② C (-1) n +2 금 61-1)-1 Ininty) Convergence, Conditional…

A:

Q: k! (Зх + € (k + 2)6k * (x) (-5)2k kk 10k In* (k)

A: 5. a) ∑k=0∞ k!(k+2)6k(3x+6)k b) ∑k=1∞ 10klnk(k)(-5)2kkk(x-2)k c) ∑k=1∞ 21+3kk2(-3)1+3k(x+1)k

Q: Test for convergence or divergence and identify the test used. Σ In(n) n = 2 converges by the Direct…

A:

Q: Match each test with its correct use(s). There may be more than one appropriate use. * Absolute…

A: Divergence :Nth term test

Q: To test the series > for convergence, you will use the Limit Comparison Test, 8k5 + 3k8 k=1 where p…

A: Limit comparison test for convergence

Q: determine if the series converges or diverges using the comparison test or a limit comparison test

A: