Which of the followings are convergent series? 5+2" 1. En=1 2+2 II. E-1 1 Ln=1 4n?-1 00 1. Σ1sin1) " ν. ΣΡ COs (nπ) π"/2| 00

Q: For which values of x does the geometric series 2 2" x" converges? n D0 Select one: a. Ob. 12x >3…

A: Geometric series converges when |r| <1  Here r is common ratio

Q: Find the interval of convergence for the given series. E (n + 7)!(x + 12)" n=0 Select the correct…

A: Let's find.

Q: Which of the following is the sum of the series 1 T13n2 +2n if it converges?

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Q: (i) E (tan-l n) n2 +1 n=1

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Q: Which of the following series is convergent? (1) 2 + 1 + ? + + + 1+ 3" (ii) E 1 + 7" n=1

A: (i) 2+1+23+12+25+13+......(ii) ∑n=1∞1+3n1+7n

Q: Which of the following series is converges or diverges. If the series converges, find its sum? 2n+2…

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Q: Determine whether the geometric series is convergent or divergent. If it is convergent find its sum.…

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Q: Indicate whether the given series converges or diverges. If it converges, find its sum. 00 cos kT…

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Q: Which of the following series is a convergent Geometric series? 6" a) OE 5" n=1 bb Σ1.05)" n=1 5 c)…

A: To find the Convergence of geometric series.

Q: cos(n/3) In n (1+:)*

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Q: (-1)" d) Find the sum of the series En=0 n! using the Alternating Series Theorem correct to three…

A: To find the sum of the series we must know about the series of ex , putting x=-1 in the series of ex…

Q: Determine the sum of the series e +e2 +e3+ .. if it converges. O diverges. e A Moving to the next…

A: Given query is to find sequence converging or diverging m

Q: Which of the following is the sum of the series0 Ln=1 +3n2+2n if it converges? O a. 1/2 O b. 0 O c.…

A: Break the given series in partial partial fraction then find their sum .

Q: Find the sum of the following convergent series: [tan(2n – 1) – tan-(2n + 3)]. n=0

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Q: Which of the following series is a convergent Geometric series? 00 5 a) 1 080 b) O(1.05)" 00 c) O…

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Q: which of the following series are not convergent? Select one: a. Lk-0 , sin(kt) O b. Ek-0 55t1 O c.…

A: As per the question, we need to find one series which is not convergent. Let us start from option…

Q: ¿(2x)" 00 4. Consider the power series: n=1 n° (a) Find the interval of convergence of this power…

A: We have to find the interval of convergence and radius of convergence.

Q: Which of the following series is converges or diverges. If the series converges, find its sum? 2n+2…

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Q: Which of the following infinite series converge? * cos (tan-n) i) En=1" -n=1 ) En=2nln(n) 1 (n +1)3…

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Q: Which of the following series is convergent? OA n=1 n 6n - 8 É(-1)* 8n +1 OB. 1-1 2 1-1 ODŽ (-1)*.…

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Q: Which of the following series is convergent? -32 OA E(-1)"e* x-1 O B. -1)*n 2-1 6n - 3 OC. 3n +1 *-1…

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Q: Which of the following is the sum of the series Ln=1 7?+4n+3 2 if it converges? O a. 0 O b. 1/2 О с.…

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Q: Which of the following series is convergent? 15n O A. E (-1)" 8n +1 *-1 15и? - 8 O B. E (-1)*- 8n +1…

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Q: H.w. 1 Show whether the following series are convergent or divergent; (-1)" n=0

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Q: Show whether the following series are convergent or divergent. If the series is convergent determine…

A: The convergence or divergence of a series can be calculated using different tests. If the partial…

Q: Which of the following is a convergent series? O 00 1 L nyn O 00 1. n2 nvlnn O n"

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: of the following series are convergent? +00 cos(n + 1)x 3"n! 6) E Cos nx a) Σ n n=1 n=1 +oo n2 c) E…

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Q: a. Ln=1 n+n cos?n 3. Using any method, determine whether the following series is convergent or…

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Q: Determine whether this series converges or diverges. Σ cos(n7) (In n)* n=2

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Q: 1: Find the arclength of the a, curve V1 - x, 0 < x s 1, Is the given series 2 - 1 + 2 1 + 4 ... a…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first one. If you…

Q: Q No. 1: (a) To test the series for converge? 2n-n

A: 1. (a) The given series is,∑n12n-n

Q: Which of these series, if either, converges absolutely kTT sin 1.E(-7)* I.E k-1 k/k k-1 A. I only B.…

A: To find whether the series are absolutely convergent

Q: First Four Nonzero Terms of the Maclaurin Series for e^x*cos(x)

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Q: Which of the following series is convergent? а. Ei nº b. E n CEn-3 С. d. E n-1

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Q: Problemm 2: Find a series that converges to the valve of the integral. s' ? orctoncsa?) dax. Show S…

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Q: Which of the following series is convergent? OA Č(-1)"n -1 B. E(-1)2n 1 n=1 9n - 5 ocČ(-1)": 5n +1

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Which of the following series is convergent? (1) to cos(nn) 5n+1 (1) E (II) E n? !5+2n² (III) E +00…

A: 1)  ∑n=1∞ cos(nπ)5n+1 cos(nπ) = (-1)n ∑n=1∞ (-1)25n+1 Here limn→∞ 15n+1 = 0   and 15n+1 is…

Q: Which of the followings are convergent series? I. 5+2" Ln=1_2®i2 II. 0 Ln=1 _4n²-1 II. (sin1)" n=1…

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Q: Determine whether this series converges or diverges. cos(na) Σ' (In n)* n=2

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Q: Determine whether the following series converge. Justify your answers.

A: We will be using ratio test to find whether the series converges,If, limk→∞ ak+1ak &lt; 1…

Q: Which of the following series is conditionally convergent? O a so (-1 a E Ob. None of these. Oc El…

A: A series  is said to be conditionally convergent if it converges, but it does not converge…

Q: Which of the following series is convergent? OA 2-1) R-1 OB. 4x Oc.2-1)* 7x+1 x-1 B. X-1 4n-7 72 +1…

A: Answer is mentioned below

Q: Which of the following is a convergent p-series? 3 A) 2 n=1 n 3 n=1 1 n=1 3 D n=1

A: The solution is given as follows

Q: 9 + cos n 9h n=1

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Q: Q(5) the second term of Maclaurin series generated by f (x) e-* is: (a) x (b) -x? (c) -

A: I know the Maclaurin series for e^x and by replacing x by -x we get the solution

Q: 3 + cos 5k 27. E k3 k=1

A: Given series, ∑k=1∞3+cos5kk3 The objective is to determine whether the series is converges or not.

Q: Determine whether the following series is convergent or divergent (show your work). (-1) 1- E n=1n…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: Which of the following series converge? . Σ3n7 II. En=2 n(In n)? 1 cos(nn) III. E=1 %3D1 2n-3 A) II…

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Q: Which of the following infinite series converge? 3n(n2+2) (n +2)3 i) 1 i) En=2 n(Ln n)? tan-(cos…

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