8. 1 Σ 7n + 10

Q: Use the ratio test or root test to decide if these are convergent or not: 00 Σ k 7k 5k k! k=1 k=1

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Q: - 1)n (n + 1)!) 3n!

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Q: 3* + 4* 2) What does converge to?

A: ∑k=1∞3k+4k5k

Q: Determine whether the given converges or diverges. n Σ 2n + 1 n=1

A: Given is a series ∑n=1∞n2n+1n To check if the given series is convergent or divergent Ratio test:…

Q: Use the root test to determine whether convergent or divergent from k=1 and ♾ of (9k+2/16k+1)^-k/2

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Q: 5. Find all values of x >0 so that ) converges. 3k k=2

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Q: 4n + 3 Use the limit comparison test to determine whether > an = Σ 20n® + 2 converges or diverges.…

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Q: find the value of p which the inegrad converges absauaysconditionally COSY

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Q: (b) Use the comparison test to determine if the following improper converges: 5/T +1 7+x + x²

A: According to the given information it is required to check for the convergence: ∫1∞5x+17+x+x2dx

Q: Find all values of x such that converges. n! n=1

A: Given that, series ∑n =1∞  xn2n! Compare the series ∑n =1∞  xn2n! with its standard form ∑n =1∞  an…

Q: Determine whether En=1n converges or m%3D1 2n

A: Given: ∑n=1∞n2n

Q: 5. Use the Limit Comparison Test to show that E=1 1+k2 1 100 Lk%31 converges.

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Q: Find all values of x such that ΣΗ converges. n! n=1

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Q: Find all values of x for which ) (3x)" converges. n=D1

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Q: Use the limit comparison test to determine convergence or divergence of the following. 00 3"+3n…

A: The objective is to use the limit comparison test to determine convergence or divergence of the…

Q: Suppose that xo 22 and xn = 2 + √xn-1-2 for ne N. Use the Monotone Convergence Theorem to show that…

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Q: Use the ratio test or the root test to determine whether (-7)* converges absolutely or diverges. k2…

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Q: is convergent Vn3 + 4n + 5 or divergent. n=1

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Q: Consider the sequence n2 an = V2n4 + 5n + 3 Determine if the sequence converges or diverges. If it…

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Q: O Determine whether E=1 converges or diverges. n! 104n t.

A: To determine whether series converges or divergent.  Here by using ratio test we will determine…

Q: 100 Use the direct comparison test to determine if n=2E %3D2 converges or diverges.

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Q: determine convergence or divergence by any method.

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Q: 1 3. En=1 (2n+1)3

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Q: Determine whether the given converges or diverges. n 2n +1 n=1

A: We can solve this as follows:

Q: Determine whether k- 3k+2 22k+1 converges or diverges. k=2

A: Given that: ∑k=2∞k.3k+222k+1   NOTE: As per our answering guidelines, we can only answer 1 question…

Q: d) Determine whether ) (an + bn) is convergent or divergent. n=1

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Q: 2 – 5n 11п-1 n=1

A: Use ratio test.

Q: Let ³ 10n 4n + 1 Determine whether is convergent.

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Q: 1 3. Use the Limit Comparison Test to determine whether converges or diverges. Vnvn+1 n=1

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Q: Find the convergence set (or interval of convergence) for the 80 (x-2) Σ 6n+8 n=0 1.

A: Solution

Q: 00 00 Show that > n3 + 8n converges by using the Direct Comparison Test with En3. n=1 n=1

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Q: Use the limit comparison test to determine convergence or divergence of the following. 00 5 /n 5n³+1…

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Q: Determine if the given is convergent or divergent. I In"(n*) 23n2 n=1

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Q: 8 6. Use the Root Test to determine whether Σ k=1 6k² 2k² +4 k converges absolutely or diverges.

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Q: 211 8. Determine whether {(1+2)"} 5c1+系) Q8 Converges or diverges.

A: Series and sequences

Q: 1 211. n=1 4"-3"

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Q: Let an 4n 7n + 1 (a) Determine whether {a} is convergent. convergent divergent = 8 (b) Determine…

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Q: (a) Prove that 4280 k!pk k=0 converges for any r > 0.

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Q: determine convergence or divergence by any method.

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Q: IV. Determine if the given is convergent or divergent. s In"(n*) 23n2 #4. n=1

A: Given series is ∑n=1∞lnn(n4)23n2

Q: n· 3n 5n n=

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Q: Determine whether ∞∑n=1n√3 converges or diverges.

A: The given series is Now, the nth term of series is

Q: Use the Direct Comparison Test to determine the convergence or divergence of the s 5n Σ 4n - 1 n = 1…

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

Q: 5) Find all values of x for which En=1 nxn (n+1)(2x+1)n converges absolutely.

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Q: Show that 2"x" converges if |x| <. n=1

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Q: Find the values of p such that E(-1)"- converges.

A: The given series :

Q: Does E 8. k=1 In(ek41) converge or diverge?

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Q: (n!)³ (3n)! 321. n=1 8.

A: we have to solve using ratio test

Q: 6n2 n

A: The given sequence be 6n2en To find it is convergent or divergent