three terms

Q: In the given question as follows  determine the convergence or divergence of the series :- see the…

A: Given : The series is ∑n=0∞ 6nn+1 .

Q: In the given equation as follows, use the Direct Comparison Test to determine the convergence or…

A: Given series is  ∑n=1∞1nn2+1 where an=1nn2+1

Q: In  the given question as follows , find the sum of the convergent series :- see the equation as…

A: It is given that, ∑n=0∞25n     ...(1)   According to the sum of Geometric series, the sum of…

Q: In the given equation as follows , determine the convergence or divergence of the series using any…

A: Given: ∑n=1∞n2n2+1

Q: In the given question as follows , find all values of x for which the series converges. For these…

A: Given: ∑n=1∞3xn

Q: In the given equation as follows , use the Root Test to determine the convergence or divergence of…

A: The given sequence is ∑n=2∞n(lnn)n=∑n=2∞an    (let) ⇒an=n(lnn)n

Q: In the given equation as follows , use the Ratio Test to determine the convergence or divergence of…

A: given,        ∑n=1∞5n!

Q: In the given question as follows, determine the convergence or divergence of the series :- see the…

A: Given series : ∑n=1∞3nn3

Q: In the given equation as follows , determine the convergence or divergence of the series using any…

A: Ratio test: If limn→∞ an+1an<1 then the series ∑n=1∞ an converges.

Q: 2n n=1

A:

Q: In the given question as follows, use the Direct Comparison Test to determine the convergence or…

A: Consider the series ∑n=1∞sin2nn3

Q: in En"x" n=1

A: We have to find out

Q: In the given equation as follows, determine the convergence or divergence of the series :- see the…

A: We have ∑ an diverges if an does not converges to 0. Consider ∑n=2∞ nln n. Now,

Q: In the given equation as follows , determine the convergence or divergence of the series using any…

A: a) ∑n=0∞(-1)n(2n+1)!b) ∑n=1∞(-1)n(2n-1)!

Q: Determine how many terms of the following convergent series must be summed to be sure that the…

A: We know                    Error = Rn≤an+1 where an+1 is the magnitude of n+1th term in the…

Q: In the given question as follows , find the interval of convergence of the power series. (Be sure to…

A: The ratio test is one of the tests to identify if the series is converging or diverging. In this…

Q: In the given question as follows, determine the convergence or divergence of the series :- see the…

A: We have been given the series  ∑n=1∞tan-1(n)

Q: In the given equation as follows , determine the convergence or divergence of the series using any…

A: Given, can be rewritten as ∑n=1∞103n3=103∑n=1∞1n3

Q: In the given equation as follows , determine the convergence or divergence of the series using any…

A: Given : ∑n=1∞5n2n-1

Q: In the given question as follows, use the Direct Comparison Test to determine the convergence or…

A: ∑n=1∞1n3+1

Q: In the given question as follows, determine the convergence or divergence of the series :- see the…

A: Given : ∑n=1∞e-n

Q: In  the given question as follows, find the radius of convergence of the power series:- see the…

A: Given,

Q: In  the given equation as folows , find the interval of convergence of the power series. (Be sure to…

A: Definition used -                           Ratio test -…

Q: In the given question as follows , determine the convergence or divergence of the series:-

A: The given series is the oscillating series since there is integer power on -1. Hence methods to…

Q: In the given equation as follows , determine the convergence or divergence of the series:- see the…

A: Given series is  ∑n=1∞-1nen where an=1en which is alternating series.

Q: In  the given question as folows , find the interval of convergence of the power series. (Be sure to…

A: Consider the series : ∑n=0∞2xn Find the interval of convergence. The series ∑n=0∞arn is a geometric…

Q: In the given equation as follows , determine the convergence or divergence of the series using any…

A: Given: ∑n=1∞-1n3n-22n To Determine: Whether the given series is convergent or divergent Concept:…

Q: In the given question as folows, confirm that the Integral Test can be applied to the series. Then…

A: Integral Test Let f(x) is a continuous and positive function in the interval [k,∞) then If improper…

Q: In the given equation as follows , determine the convergence or divergence of the series using any…

A: Given: ∑n=1∞2n4n2-1 To Determine: Whether the given series is convergent or Divergent. Concept: Let…

Q: S -1)*3" п! n=1

A: Use ratio test to determine if the following series converges or diverges.

Q: In  the given question as folows , find the interval of convergence of the power series, where c…

A: Given series is  ∑n=0∞xkn=∑n=0∞xnkn where an=1kn.

Q: Estimate the value of the following convergent series with an absolute error less than 10-2. 1)k Σ…

A:

Q: In the given question as follows , determine whether the series converges absolutely or…

A: Given series is  ∑n=1∞-1n+1n+3 where an=1n+3 which is alternating series.

Q: In  the given equation as follows , use the Ratio Test or the Root Test to determine the convergence…

A: Given series  1+23+332+433+534+635+... This can be written as 130+231+332+433+534+635+... So the…

Q: 00 n=1 5n_1

A:

Q: In the given question as follows , determine the convergence or divergence of the series:- see the…

A: Given: 1200+1400+1600+1800+........

Q: In the question as follows , determine the convergence or divergence of the series :- see the…

A: Given : ∑n=0∞75n

Q: In the given equation as follows , determine the convergence or divergence of the series using any…

A: By alternative series test, an alternative series ∑n=1∞(-1)n+1 an with an≥0 converges if and only if…

Q: In the given question as folows  , determine the convergence or divergence of the p-series :- see…

A: Consider the given: P-series test:The p-series is given by-∑n=1∞1np=11p+12p+13p+⋯where, p>0 by…

Q: n-1 3 n=1 n° +1

A:

Q: In the given question as follows , verify that the infinite series diverges :- see the equation as…

A: Given:           ∑n=1∞nn+1 n(n+1) is the nth term of the series.…

Q: Use suitable test to determine whether the following series is convergent +00 e" sin(n!) n!

A:

Q: ( 1)** Approximate the sum of the convergent series to four decimal places.

A: k Tk Sum upto k 1 1     1.00000 2 -0.5     0.50000 3 0.041666667     0.54167 4 -0.001388889…

Q: Estimate the value of the following convergent series with an absolute error less than 10 00 -3 9(-…

A: Given series

Q: Determine how many terms of the following convergent series must be summed to be sure that the…

A: Here, the given series is: ∑k=0∞5(-1)kk! Let, ak=5(-1)kk!; k≥1

Q: se the limit comparison test to determine if the following series converges or diverges. 5n Σ n=1

A:

Q: Determine how many terms of the following convergent series must be summed to be sure that the…

A:

Q: Use the test of your choice to determine whether the following series converge absolutely, converge…

A: Given: ∑k=2∞100k-k Concept Used: Root test for series ∑n=1∞anL=limn→∞an1nL<1 ⇒absolutely…

Q: Determine whether or not the below series converges or diverges. If

A:

Q: Determine how many terms of the following convergent series must be summed to be sure that the…

A: