Identify whether the series . n-1 Sn -1 convergent or divergent using the integral test and comparison test.

Q: Σ sin(n) n=1 n²+1 n%=D1

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Q: Use an appropriate test to determine either the series is convergent or divergent.  inifnity…

A: Solve the following

Q: 1+ + + + + 3.

A: Given series is   1+13+15+17+19+ . . . . . . . . hence seies can be written as ∑n=0∞12n+1

Q: Use the root test to determine whether the series converges or diverges. If the test is…

A: The given series is: ∑k=1∞ 6k+54k-3k

Q: Use an appropriate test to determine whether the series is convergent or divergent. infinity…

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Q: Determine whether the series is convergent or divergent. > arctan(5n) n = 1

A: The given series is

Q: Determine the convergence or divergence of the series and identify the test used. 4h - 3 n = 1

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Q: 8. Ene n=1

A: Given series is                                                             ∑n=1∞ne-n2 we have to…

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. If it…

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Q: Determine whether the series is convergent or divergent.   sigma sign with infinity on top and k=1…

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Q: Use Integral Test to determine whether the series 1 converges or diverges. (n + 2)% n=1

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Q: Use an appropriate test to determine whether the series is convergent or divergent.  infinity…

A: Given a series : ∑n=1∞ n2+2n-12n2+3n We need to find if it is convergent or divergent.

Q: Use the Integral Test to determine whether the series 4 converges or diverges. n=2 n(Inn)*

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Q: Determine whether the series converges or diverges. Indicate the type of series or test(s) that are…

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Q: +∞ Σ n=2 3 Vn4 – 2 4η3 + 5

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Q: > arctan (n) n=1

A: Given

Q: Use the Integral Test to determine whether the series is convergent or divergent. Inn n=1 n

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Q: Determine whether the series converges or diverges. Indicate the type of series or test(s) that are…

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Q: Use integral test to determine whether the to llowing Series is convergent or divergent n n²+2 n=1

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Q: Evaluate as power series and determine the radius of convergence. x2 -dx 5+ 2x

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Q: 7n Zn=1 n!

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Q: Test the series for convergence or divergence. in n = 1 convergent O divergent

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Q: Determine whether the series is convergent or divergent. 2n=1 =1 (-1)"3n² 2 -1

A: Given series is ∑n=1∞(-1)n3n24n2-1

Q: In n is convergent or divergent Use the integral test to determine whether the series,

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Q: Decide which test for convergence is appropriate and then use it to determine whether the series is…

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Q: Determine whether the series is absolutely convergent or conditionally convergent. (-1)" Σ 3n2+1

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Q: 16. M8 Σ n=1 –3η + 1 2n + 3 4η

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Q: Determine whether the series is convergent / divergent (4) Σ.Ξ1 +∞ 1

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Q: State an appropriate series with which to use the Comparison or Limit Comparison Test to prove…

A: Given: ∑n=1∞ 1n+lnn

Q: Determine whether the series is convergent or divergent.

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Q: Determine if the series is convergent or divergent using Ratio test. Σ 42n+1(n+1) n=1

A: Solution

Q: Use the integral test to decide if the series E(-1)" is absolutely convergent or conditionally…

A: Given the series  ∑r=1∞-1r2r3sinπr2

Q: Determine whether the series is convergent or divergent. 1 n=1 Vn3 +1

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Q: Determine if the following series is absolutely convergent, conditionally convergent, or (-1)*(2k +…

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Q: Given the series 8 Does this series converge or diverge? converges O diverges

A: Given

Q: 1 Σ (n +2)*¾ n=1

A: Find your answer below

Q: Determine whether the series converges or diverges. n-sn- 4 converges diverges

A: According to question given ∑n=5∞2nn-4

Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used…

A: Given series:  ∑n=1∞1(n+1)!-n! We have to check whether the series converges or diverges. Ratio test…

Q: 1 n = 2

A: Telescoping series are series in which all but the first and last term cancel out.

Q: Determine whether the series is convergent or diver gent by applying either the comparison test or…

A: 2.) Given series is ∑n = 1∞1nn As n > 2    for all n≥3nn > 2n   ⇒ 1nn < 12n ⇒  ∑n = 1∞ 1nn…

Q: Determine whether the series converges or diverges. Indicate the type of series or test(s) that are…

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Q: Determine whether the series is convergent or diverg Vn + 6 n2 n = 1

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Q: Determine whether the series converges or diverges. Indicate the type of series or test(s) that are…

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Q: Determine whether the Series is convergest divergent. or write the exact test that you Us e. nt2

A: Series and sequences

Q: Use the Ratio Test or the Root Test to determine the convergence or divergence of the series. Σ n =…

A: Root test: Let an be a sequence of real numbers such that limn→∞ an1n=l. then  ∑n=1∞an converges if…

Q: 3. Find out whether the series given below converges or diverges. 1 Σ 4Vn + In

A: We will use comparison test and p - series test  Given  series is : ∑n= 1∞14n + n3,    let  vn  =…

Q: Determine whether the series converges or diverges. sin2(n) n + 4 n = 1

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A: answer is in next step

Q: Determine whether the given series is absolutely convergent, conditionally convergent or divergent.…

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Q: 00 Σ 3k k-2

A: Integral Test : Suppose that f(x) is a continuous , positive and decreasing function on [k,∞) and…