which of the following series are not convergent? Select one: a. Lk-0 , sin(kt) O b. Ek-0 55t1 O c. Lo 5 5k1 O d. 10013 (k+1)* Lk=1 e. L-10 * uk=10 2k O f. (-) * f. Lk=1

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 one of the following series is divergent ? 5 'k = 1 E, 5k-12 'k = 1 попе 5 Σ 'k = 1 k12

A: We will simplify all the series in terms of an integer exponent and then we will decide the…

Q: Which one of the following series is divergent ? 5 00 k = 1 k12 Σ k 1 попе E, 5k-12 k = 1

A: We will solve the following.

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: Determine whether the given series is convergent or divergent. Justify your answers. +00 (2n)! 2(n +…

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Q: Find the sum of the following convergent series. (a) tan-(n) – tan-'(n + 1) n=1 (b) 2" + 3" 4" n=1

A: We have to find sum of convergent series.

Q: 30. Suppose that E-o Cnx" converges when x when x = 6. What can be said about the convergence or…

A: We have the given series is ∑n=0∞cnxn is convergent for x=-4 and divergent when x=6. Let R be the…

Q: 1 (а) 4n² – 8n + 3 n=1 In n (b) E(-1)". n2 n=2

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

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Q: Find the interval of convergence for the given series. 2(n + 3)!(x + 13)* Select the correct…

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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 series is convergent? O A. E(-1)*e* N-1 12n O B. E (-1)* 2n+1 OB. *-1 12n - 2…

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Q: Find the first three nonzero terms of the Maclaurin series for the function and the values of x for…

A: Find the maclaurin series of f(x) using standard series

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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 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…

A:

Q: a) Find a power series for f(x) = %3D 1-8х b) Give the interval of convergence for f(x)

A: Hey, since there are multiple subpart posted, we will answer first 2 questions. If you want any…

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: Determine whether the following series converges or diverges. 7 yn + 8 n=1 Input C for convergence…

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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: 2" (x-3)" 100 1.) Ση-0 Vn+3

A: Note: There are many subparts in the question and the question is so long. So I will answer the…

Q: Find all values of p for which the following series is convergent. If you apply Integral test, make…

A: integral test:

Q: Which of the following series is converges? Select one on 1. O a 9n + 1 3n +2 6" +4" Oc. 2 Od +1…

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Q: O Find the first four term of the Maclaurin series of the function f(x) = log((1+ x)), then give an…

A: The Maclaurin series of a function is defined as f(x)=∑k=0∞f(k)(0)k!xk. This series can be expanded…

Q: 2. Decide whether the following numerical series converges to some L ER and, if it does, find such…

A: Find sum if sum is finite implies series is convergent  And series converges to it's sum

Q: uestion 11 Which of the following series is convergent? 15и? -7 O A. E (-1)* 7n? +1 *-1 O B. E(-1)2n…

A: To find which of the following series converges.

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

A:

Q: the following series is convergent or diverg u are using in each case. Σcos(nn) n² + 3n-2 n³ +4n² -…

A: Test for converges,

Q: Suppose that E Cn x" is a power series with interval of convergence (-3, 3) and that Cn a" converges…

A: There is no change in the interval of convergence of a series if we multiply is by a polynomial.…

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

A: Given series ∑n=0∞tan-12n-1-tan-12n+3 Assume ∑n=0∞tan-12n-1-tan-12n+3=∑n=0∞an-∑n=0∞bn Where…

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: For each of the given series, determine if it converges or not. Give reasons for your answer. If it…

A:

Q: Q1/ Determine the interval of convergence and the radius for the following power series (x - 2)" Σ…

A:

Q: Write the first four terms of a Maclaurin series for f(x)= e^x Use a value of x=1 to calculate a…

A: Maclaurin series of  of a function f(x) is obtained by the following power series  f(x)  = f(0) +…

Q: Determine whether the given series is convergent or divergent. a. En=1n b Σ(-1)" n 10" c. Ln=1

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Q: 00 5n + sin?n + sin²n 3n - |sin n| n=1

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Q: Find the sum of the convergent series. 1 n vn + 1. n=16

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

A: Telescoping series and test for converges

Q: H.w. 1 Show whether the following series are convergent or divergent; Σ -1 E-1)" Σ 3n n(n + 1) n=1…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Determine which one of the following series converges: Select one: O a. s 2()* O b. Lk=1 3k+2 Oc.…

A:

Q: Which of the three series (i) E (-1)n-1 cos2(n) (-1)n - 1 In(n) (11) E (-1)n -1 4 (iii) n= 1 n=1 7n…

A: (i) The given series is: ∑n=1∞(-1)n-1cos2nn3 Let, an=(-1)n-1cos2nn3;n≥1 Then an=(-1)n-1cos2nn3…

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: Q8. Find the interval of convergence (if any) of the following power series. n! En=0 2n

A: As per our guideline we are allowed to do 1 question at a time. Please post other question next…

Q: Find the first four terms of the binomial series for the given function. -2 1+ 10 OA 1-맛+ 100 250 1…

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Q: Find the interval of convergence (if any) of the following power series. xn En=1(-1)"+1, n(ln n)2

A: Clearly from the given series we can see that the summation is starting from n=1. And ln(1) = 0. So…