6. Use any test to determine whether each of the series below converge. State which test you are using. Inn sin n (a) ) (b) (c) n3 n=1 Vn + 2 n3 – 2 n=1 n=1 多

Q: a) Is the series Σ is Vn + n3 + 10 n=1 convergent or divergent? justify your answers. 8.

A: Dear student, As per guidelines if multiple questions are posted we are allowed to solve only ist…

Q: Does the series from 1 to infinity of (2^k*k!)/((k+2)!) converge or diverge?

A:

Q: For what value/values of x does the series 2(- 1)" x" converges? n =0

A:

Q: For what values of x does the series converge conditiona 10x" Σ n= 1

A: for a series to be conditional convergent ∑an has to be convergent and ∑|an| should be divergent.

Q: For which value of p the series E n(1+n²Y converges. O ps-2 O p<2 O p22 O p2-2

A:

Q: a) Is the series >. is Vn + n3 + 10 n=1 convergent or divergent? justify your answers. 8.

A: We have to find the convergent test

Q: Find all the values of x such that the given series would converge. 11"(x")(n + 1) (n + 4) n=1

A:

Q: use the Direct Comparison Test to determine whether the infinite series is convergent.

A:

Q: 3. Use the integral test to show whether the series converges or diverges 00 п a) E- 00 1 b) E: n=4…

A: Integral test:  Suppose f(x) be a continuous, positive and decreasing function on the interval [m,…

Q: Find all the values of x such that the given series would converge. (x - 6)" 6" n=1

A:

Q: 49. E ) converges, so the series converges. n=0

A: Given: ∑n=0∞1011n first we expand given sum for n=1,2,3,4....... so,…

Q: 1. E(n + -3 2 n=1

A:

Q: Find all the values of a such that the given series would converge. (x - 7)"

A:

Q: Q. 5 - Using the converges tests, determine whether the following series converges or diverges n=1…

A:

Q: 2" (x – 4)" Σ n n + 4 n=1

A:

Q: (4x)" n2 n=1

A: find all the values of x such that the given series would converge correctly    ∑n=1∞4xnn2

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

A: 1. (a) The given series is,∑n12n-n

Q: Determine whether the given series converges or diverges: 00 S(2n)! (n!)2 n=1

A: The ratio test states that: if L &lt; 1 then the series converges absolutely; if L &gt; 1 then the…

Q: Find all the values of x such that the given series would converge. (x – 3)" | 3" n=1

A:

Q: The interval of convergence for the series 3n n= n=1 2" + n³ ( – 1)" is

A:

Q: Find the values of p for which the series is convergent. 61 p n1

A: Given information:The given series is

Q: Find all the values of x such that the given series would converge. 00 5 11"(x")(n+ 1) (n + 4) n=1

A:

Q: For what values of x do the power series x" converge. n=1

A: The given power series is ∑n=1∞1+1nnxn. Consider an=1+1nnxn By using root test,…

Q: Determine the values of x that causing the following series to converge. (3x- 1)n 2n n=1

A: This is a problem related to convergance of the series. Based on the general formula we will answer…

Q: (x – 9)" - 9" n=1

A:

Q: Find all the values of x such that the given series would converge. ∑_(n=1)^infinity((−1)^n x^n…

A:

Q: The series E n=0 converges to 2+/2 Select one: True O False

A:

Q: 3. a) Use the sum of the first 10 terms to estimate the sum of the given series. n-1 b) Improve this…

A: We have to find the sum and improve the estimates.

Q: 2 + In n Use the Comparison Test to determine if the series E converges or 2 n=1 _n sin'n diverges.

A:

Q: 8. Determine whether each of the following series converges or diverges. Clearly state which tests…

A: Given that

Q: Q3: Find the interval of convergence of the following series Inx" Σ Vn +3 3" IM IM

A: Here we find interval of convergence of given series

Q: Find all the values of x such that the given series would converge. (5)" (/n + 6) n=D1

A:

Q: Consider the series n Σ 3n + 10 n=1 Determine whether the series converges, and if it converges,…

A: When the limit of function lies between 0 to 1 , then the given function is convergent and when the…

Q: Find all the values of x such that the given series would converge. (10x)" n3 The series is…

A: 1. Given ∑n=1∞10xnn3 By Ratio test limn→∞10xn3n &lt; 1⇒ |x| &lt; 110 = 0.1 Also the series is…

Q: 12. a) Find the range of values of x for which the series E1 (=) converges. c) Determine the value…

A: 12(a) Given infinite series is: ∑r=1∞x-3x-1r=x-3x-1+x-3x-12+x-3x-13+...... Let is consider,…

Q: Use the test of your choice to determine whether the following series converge.

A: Use the test of your choice to determine whether the following series converge.

Q: E 2 > 2 ke-k converges or diverges Determine whether the series

A:

Q: 3. Suppose that the following alternating series converges. (-1)" n2" Determine the number values…

A:

Q: Given the following series: 00 (п + 1)x2п-1 3" n=0

A:

Q: Find the values of p for which the series is convergent. Σ 6 n(In(n)) P n 2

A: Consider the given series.

Q: Find all the values of x such that the given series would converge. Σ (– 1)"z" 4" (n² + 10) n=1

A:

Q: 4. Use the Ratio Test to determine if each of the following series converges or diverges. You do not…

A: We have to use ratio test.

Q: n2 For which z E C does the series E converge? n=0 zn

A:

Q: Find all the values of x such that the given series would converge. Σ (– 1)"(x")(n + 2) (11)" n=1

A: Here we use the ratio test for the convergence of the function:

Q: -n? the root test fails to determine if the series E (1+2) * n = 1 converges or diverges Select one:…

A:

Q: x" Σ n=1 п+5

A:

Q: Find the sum of the convergent series. (b) (sin 1)" n=1 9 27 (c) 8+6+;+ Σ (2n + 1)(2n + 3)

A: As per bartleby guidelines we only give first question answers.

Q: we can't use the ratio test to determine if the series E n=1n2 + 3 converges or diverges Select one:…

A: Answer and explanation is given below...

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

A: To find whether the given series converges or diverges.