00 1 converges or diverges. Clearly state the test Suppose c > 0 is a constant. Determine if you are using and show all steps. n=1 T" – c

Q: O fn G= is vniformly Convergent for every xo [3,~0). if given 2-0.03 we take n> N=? a) 17 e) 15 b)…

A:

Q: a) S) Determine wether o ns + n n10 n=1 converges or diverges. b) Does enz converge or diverge for x…

A:

Q: 1 1) Does E0 k=l (4)*+(÷)* converge or diverge? 'k=1

A: Apply here limit comparison test

Q: dx too what can you deduce about V" + 2x+6 -4 Select one: a. converges to 1 b. converges to 0 C. non…

A:

Q: What are all of the values of x ,such that E-1)n+1(n)* converges? x1.2 O x<1.30 x<0,40

A: By lebnitz test we observe n^x tends to inf gives zero only when x&lt;0.

Q: { 1+ nx Q1.(a) Is the sequence uniform convergent 3+ 2n3x3 n=1 (i) over [0, )? (ii) over [1, ∞)?…

A:

Q: {( 2n The sequence 1+ 2n n=1 Diverges 1 Converges to 1 Converges to Converges to Vē None

A: Ans is given below

Q: m-1 -4 m3D1 converges.

A:

Q: Q8 Determine whether {(1+2)"} Converges or diverges. n=0

A: To find the convergence of 1+pnpnn=0∞ For that, note that: limx→∞1+axxa=e

Q: For which values of p does E (n345)p converge? (Use symbolic notation and fractions where needed.…

A:

Q: S(-19)" n! n = 1 absolutely convergent 8.

A:

Q: 3n The sequence an V11 + 16n? O A. diverges 3 O B. Converges to 16 O C. None of these 3 O D.…

A: Here we will use limit, to check convergence of sequence

Q: Q(3) The sequence 2n – 4n3 3n7 + n3. (a) Converges to: (b) Diverges (c) Converges to

A: Explanation of the solution is given below...

Q: Determine if the following converge or diverge. Explain your answer: 00 (a)E) 3 n° n5+1. n=1

A: we have,

Q: M(-1)+1cos?n n= 1 Select one: a. converges absolutely b. converges conditionally C. NOTA d.…

A: The given series is

Q: For which values of p does E converge? n=1 (n°+7)*5 (Use symbolic notation and fractions where…

A:

Q: 00 Let r be a constant. Suppose ' converges to -1, then the sum of )r' is i-1 i-0

A:

Q: Does E In n converge? n/2 n=1

A: We have to solve given problem:

Q: 3 Jlgull What are all of the values of x ,such that (-1)"+'(2n)* converges? n=1 x0.3 O

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: QUICK CHECK 5 Explain why E 0.24 k=0 converges and why E 2* diverges. k=0

A: Given- ∑k=0∞0.2k and ∑k=0∞2k To explain- why ∑k=0∞0.2k  converges and why ∑k=0∞2k diverges. Concept…

Q: 3. Conclude that * f(x) dx converges.

A:

Q: Q3) The sequence a, = 1 - (0.2)" a) converges to 0 b) diverges c) converges to e d) converges to 1

A:

Q: S 3n? + 2n + 1 n2p-1 + 137 n=1

A: The given series is: ∑n=1∞3n2+2n+1n2p-1+137 Let, an=3n2+2n+1n2p-1+137, bn=n2n2p-1=1n2p-3; n≥1

Q: n2 + 5 Use the ratio test to determine whether converges or diverges. 5" n=11

A:

Q: SELECT (n!)? (2n)! .()* B) is similar to G A) converges C) is similar to )" D) diverges

A: We will use Ratio Test to determine convergency

Q: 5. Mark each statement as true (T) or false (F). No justification is needed. Assume that Cnx"…

A: Given the series is converges for x = 5 and diverges for x = 7

Q: For which values of p does £=1 converge? (1+eon)4p

A: Given: To explain the given statement as follows, .

Q: M(-1)+ cos?n n= 1 Select one: a. converges absolutely b. converges conditionally C. NOTA d.…

A:

Q: Sn+(-1)") The sequence Converges to 1 Converges to 2e Diverges Converges to 0 Converges to e

A:

Q: State whether the following statement is true or false. Explain your answer. (a) If Ea, converges,…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: x +1 29. Find the values of x for which > converges. 4 n= a) x=tV3 only b) x=1 only c) -3V3 d) x

A: we have to find value of x

Q: 1 converge? Justify your answer. 3) For which a does n(ln n)ª n=2

A:

Q: 00 For which values of p does E converge? (n° +7)" n=1 (Use symbolic notation and fractions where…

A: Given problem:-

Q: (8) Find all k so that aek= dx converges. In this case, find the value.

A: Given problem:-

Q: 8. (logn) 1 find k, if it exists, sothat this converges n=2

A: We have , ∑n = 2∞1log nk We know that , Cauchy Condensation test ,  Let , ∑n = 1∞un  be a positive…

Q: Q(3) The sequence 4n3 3n7 + n3 2n7 (a) Converges to (b) Diverges (c) Converges to

A:

Q: Determine h if V = 1.1535 m³ and r = 1m using Fixed point iteration on the given convergent…

A:

Q: The two series below are convergent (do not spend time testing for conver- gence). Find the value of…

A: Here we solve the given problem.

Q: E (-1)"+1 (3x)" What are all of the values of x ,such that 00 converges? n=1

A: We have to use Common Ratio.

Q: For which values of p does n=1 converge? (1+e 9n)4p

A: For which values of p does ∑n=1∞en1+e9n4p converge?

Q: solve and choose the correct answer Σα > (x - 10)n n=0 O diverge O converge O converge and diverge

A:

Q: n! Use the ratio test to determine whether E=1 converges or diverges.

A:

Q: Inx? x² –1, 2 x=2 A-Converges B-Diverges C- Absolutely converges D-Conditionally converges 8.

A: In both cases we use comparison test.

Q: cos(na)(2n2 +n-1) 1+n3 conditionally convergent, absolutely convergent, or divergent? Justify your…

A: We have to consider the following given series

Q: 4n The sequence an 2 15 + 36n? OA None of these 4 O B. Converges to 15 2 Oc. Converges to 3 O D.…

A:

Q: For which values of p does converge? (n² +6)° n=1 (Use symbolic notation and fractions where needed.…

A: Given: ∑n=1∞n6(n7+6)5p Where, an=n6(n7+6)5p We have to find the value of p for which ∑n=1∞an…

Q: (nr1) e 2n-1 a) " find the rodius of convergence and interval of convergence. 37 b) Determine whichi…

A:

Q: п? + 12 6) E Зп? + 4n — 1 n=1

A:

Q: the series : 2 3 3 5 Select one: a. converges absolutely O b. converges conditionally c. diverges d.…

A: Check the given series by limit comparision test.

Q: Q.2)(A) Determine of each point convergens or diverges: R sinhn (4) Στη?)coshn ΑΞΟ (S) Σ ΑΣΘ ((Inn"…

A: Given