Use any method to determine whether the series converge. (a) k=1 The series 1 (b) 9k + 1 The series

Q: k a S- ob-cx" dx

A: The given problem is to evaluate the given definite integral by using the first five terms of the…

Q: dy 5(y – 10), y(0) = 8 dt Solve || y(t)=

A: solve the differential equation by separable method.

Q: q3 Determine if the series converges or diverges

A: Given: ∑n=2∞1n ln(n)

Q: se any method to determine whether the series converges or diverges. (k !)6 Σ (6k)! k=0 O The series…

A: Given query is to find series converges or diverges.

Q: ies20° ( - ) B. Find the interval of convergence of the power series 20 sum of the series as a…

A:

Q: 5+ * + (x+3) (x+3)2 (x+3)³ 2 20 200 10 find the value of x if the given series converges to 3

A:

Q: (-1)k +1 The series E is 'k = 1 2k

A: We should know leibniz rule to solve this problem. Let's see statement of Leibniz rule.

Q: Find the value of 7x²e-3 Determine whether ) (7n’e- ) n=1 Enter C if series is convergent, D if…

A: Let's find.

Q: Use any method to determine whether the series converges. k2 (a) k3 + 6 Vk (b) k3 + 6 ?

A:

Q: √n-3 n²+2 does the series converge or diverge.l

A:

Q: Determine whether the alternating series converges. 2(- 1)*+1 k+ 1 2k + 1 k=1 O The series diverges.…

A: Alternating series test: Suppose that we have a series ∑ an and either  an=(-1)nbn  or an=(-1)n+1bn…

Q: 2k 3k Use the Root Test to determine if the series converges. 3k (2k) k=1

A: Given : ∑k=1∞ (3k)2k(2k)3k

Q: (- 1)"+(n+2) 1. Determine if the series Σ converges absolutely, converges conditionally, or…

A: here we have use the alternating series test if the series  is positive and monotone decreasing…

Q: 1+(-3)" Find the sum of 72 4h n=0

A: Given series,                  ∑n=0∞1+-3n4n

Q: 00 2) 3) n3+5n²-17 n en n n=1 n =2

A: