Given that the series converges where P > which of the following is true *- 10 (5n?+1) - dx o a. The integral ), G² + 1)? converges 6x 10 (5x² + 1)² 62 Ob. - 10 (5n + O c. The integral ;dx diverges (x+ 1) 10 1 o d. The integral J- 10 (x+ 1)* converges O e. No correct answer

Q: 2. Use the Integral Test to determine if the series Σ (n + 2)/4 1 n=1 converges or diverges.

A:

Q: Evaluate the infinite series by identifying it as the value of an integral of a geometric series. (–…

A:

Q: b) Use term by term integration to find the power series for In|1 – 2x|.

A: Solve the following

Q: Which one of the following series is divergent? 1 (A) 1 5n +n+7 (B) n3 + Vn n=1 n=2 5 (C) 5h (D) 9n…

A:

Q: Use the integral test to determine if the series 1 n5/2 converges or diverges.

A:

Q: 1. Use the Integral Test to investigate whether the series converges or diverges. n=l n ecide…

A: Given query is to find the series converges or diverges using integral test

Q: The series 2 ÷, n =0 x" |x| >1 has a sum equal to: Select one: а. х b. х— 1 C. 1 1-x d. 1 х —1

A:

Q: 1 n * (In n) n=2 8.

A:

Q: P 1. Use the integral test to determine whether the series En-2 n(In(n))3/4 convergent or divergent.…

A: We have to determine the convergence or divergence of the series ∑n=2∞ 1nlnn34. Consider the…

Q: 30. Assume a series What can be said when: x = 2 a. an xn b. converges when x = -3 and diverges when…

A:

Q: Let an (2n³ + 1) sinn n² +1 (1) Does the sequence (2) Does the series n=1 n² + 1 (2n³ + 1) sinn n¹ +…

A: Here we have given a sequence  where,

Q: Find the largest interval (in x) where the series summation from n = 1 to infinite of xe-nx…

A: Here we use D'Almbert ratio test.

Q: Use the Comparison Test to determine if the series 5n – cos 2n n + n2 + 1 T=1 converges or diverges.

A: Comparison  Test :    If ∑n=1∞ an and ∑n=1∞ bn be the two positive term series and an≤ K.bn for all…

Q: 00 n=1 5n_1

A:

Q: 4. Σ( 11-13) π n=1

A: We have to determine whether the given series (4) is convergent or divergent. As in Question only…

Q: If an = n²(n+5n²) 4n4-n²+1' then by using the Nth term test for divergence, the series Σ an…

A: We have to find if given series converges or diverges.

Q: 15a) n=0 (-1)² 7³² (2n)!9" 2n+1 15b) (−1)" 3+¹ 00 n=0n!5"- 15c) √ x³ sin(x²)dx

A:

Q: S-1) pn 1- Which of the following series converges and which diverges? 1 A) E(-1)*1. Ans. Converges…

A:

Q: 1 Given that the series 2 (1n² + 1)’ 7 converges where P > which of the following is true *-5 O a.…

A: Given series ∑n=5∞6nn2+1p converges where p>12 We have to check which of the given option are…