Use the ratio test to determine the convergence or divergence of the series 8 Σ 2cosh(n) - 2 n=0 (a) Evaluate lim,→∞ (an). Does this limit tell you anything about whether S converges or diverges? an = and S = an. -n (b) Use the fact that e ≥ 1 − n + ½ n² − — n³ for all integers n to show that a„ ≤ (c) Hence, determine if S converges or diverges. n²

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 00 n Σ 67 n = 1…

A:

Q: Let {an} be such that an 0 and let lim an+1| JanT = 0.5. Which of the following statements is always…

A:

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an n=1 Since…

A:

Q: Identify an Since lim n=1 Evaluate the following limit. 318 nx (-4)2-1 lim n 00 an+1 a ? 1,…

A: The  given  series  is  where We  have  find  Now,

Q: 04: A) Consider the sequence (f,(x) of functions f,:R→R defined by: f.x)=Cos"(x) for-a/25xSa/2.…

A:

Q: The Limit Comparison Test says that the series An and bn, with all an > 0 and b, > 0 either both n=1…

A:

Q: For the sequence {an} defined by 2n-1– 4(xn-1)", xo E (1/8, 3/8) Select one: In converges…

A:

Q: Let a„(x) = (n + 1)²™”, and define f(x) = an(x). n=0 a) Evaluate the following quantities: lim h(x)…

A: We have;

Q: Determine the following value: F20 + F30 1. 2. F34 3. F67

A:

Q: (a) Choose a series C lim = lim -100 bm 11-00 b with terms of the form b₁ = 1. 1 and apply the limit…

A:

Q: . For n = 0, 1, 2, 3,..., let an = (a) Find lim sup(an)¹/", lim inf(an)¹/", lim sup|ªn+¹| and lim…

A:

Q: Use the Ratio Test to determine whether the series is convergent or divergent. -1 57 3nn³ 00…

A: To Use: The Ratio Test to determine whether the series is convergent or divergent. ∑n=1∞-1n5n3n n3…

Q: 7 1+ Consider the series an where an = n=2 Compute the limit: lim Van (Enter "infinity" or "inf" if…

A: Given: The series is ∑n=2∞an, where an=1+7nn2 To find: Value of the limit limn→∞ann. Concept used:…

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an Since lim…

A:

Q: e{3k(n +7) sin( 1. -) +7} k(n+7)

A: