he series (-1)". n=D0 4n Converges to 4 Converges to -1/2

Q: 5 f(x)%3D 2+x

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Q: 4.For what values of x , does the series, 1--s)+r-s} -r-s) +. (x – 5) + 27 (x - 5)" + converge ? If…

A: Simplification and integration

Q: Σ ( 4 sin =D1

A: ∑n=1∞sin(4n) -------- Limit comparison Test:- Let we have two series a_n and b_n [b_n!=0]…

Q: 3. For what values of x , does the series, 1-«-4)+ (* - 4)° --4). .... converge ?Find the ........…

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Q: 2 – n I-2 n3 +1 n=1 3

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Q: Find an infinite series that converges to 1/2 ex - 1 dx.

A: Consider the integral: I=∫012ex-1xdx……1

Q: Determine whether the series converges or diverges. COS n+5 converges O diverges

A: I use limit comparison test

Q: How many terms of the convergent series E=41/(n(In n)) should be used to estimate its value with…

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Q: The radius of convergence for the series En=o(-1)" (x+9)" is n²+1 O NONE

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Q: The series from 1 to infinity of 5/9+2^n.  Does this series converge or diverge?

A: Topic:- limit for convergence test

Q: Find the positive values of p for which the series converges. (Enter your answer using interval…

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Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) Σ…

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Q: Does the series of n=1 to infinity of (-1)^n*sin(9/n) converge or diverge?

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Q: F(-1)"(x – 4)" 2nn²

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Q: Find the sum of the convergent series. (Round your answer to four decimal places.) 00 Σ (sin(3))" n…

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Q: ...+ 2 (i). For what values of x, does it converge? (ii). If you integrate the series term-by-term,…

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Q: 42n (x + 4)" is 8n n=0 The given power series : convergent if |(x + 4)| < ( Write your answer up to…

A: Given, the power series ∑n=0∞42n8nx+4n is convergent. Then we have to find x+4&lt;?.

Q: The radius of convergence of the series 00 n! (3x – 1)" -

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Q: Find the values of p for which the series is convergent. (Enter your answer as an inequality.)…

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Q: s of x for which the series converges. 87 n=1 < x <

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Q: Does the series from 1 to  infinity of (n^2)e^(-n^3) converge or diverge?

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Q: Does the series from 1 to infinity of (k^k)/(2^k) converge or divergee by the root test?

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Q: termine the radius of convergen ce for the power Series Ź Li)nt! (x-1)" n+1 -|x

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

A: 1. (a) The given series is,∑n12n-n

Q: se the integral test to determine whether the series is convergent or divergent. inifinity sign…

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Q: Is the series Σ (3j)"n! n" n=1 convergent or divergent? Give a reason for your answer and show the…

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Q: The values of p for the series. Σ to be convergent #1lp-31 is p>4

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

Q: Σ N° 1) Show that the series converges/diverges.

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Q: 3. The numerical series log O converges to a ptive number O diverges to+0. Odiverges to-0. O…

A: We can find whether the given numerical series converges or diverges using limit comparison test.

Q: f (x) = 1 3-x

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Q: Express the series in terms of elementary functions and find the where the series converges (1+ a*)…

A: We have,

Q: the sum of the two parts of the Noni series Sn ar

A: Given : It represent Geometric series :

Q: The interval of convergent for the series (-1)*x* is: 4kk (a)[-4,4] (b)(-4,4] (c) [-4, 4) (d)(-4,4)…

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Q: Find the sum of the convergent series. (Round your answer to four decimal places.) 00 2 (sin(7))" n=…

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

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Q: Find the radius of convergence and interval of convergence of the series. E(-1)": 3" n=2 R = I = [?…

A: Answer

Q: The series from n=1 to infinity of n(n+4)/sqrt(n^3+5n^2.  Does it converge or diverge?

A: Take n2  common from the denominator and then go ahead

Q: Σ cos(Tn) Vn3 – 1 Vnº n=2

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Q: Find the sum of the series for the values of x, for when the series converges.

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Q: Does the series from 1 to infinity of ((-1)^(k+1))/((k+1)!) converge conditionally or converge…

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Q: Find the positive values of p for which the series converges. (Enter your answer using interval…

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Q: The series is k=0 convergent to 3 divergent 5 convergent to 2 O None convergent to

A: To check whether the given series is convergent or divergent

Q: Find the interval of convergence for the given series. Also, find the sum of the series, (x – 5)" 2"…

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

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Q: The given series converges. Find the value of its sum. (Give the answer in exact fractional form -…

A: We have to find

Q: What are the values of x that make the next series convergent (sin(x))" n n=1

A: To find the values of x for which the fpllowing series converges…

Q: Consider the series E, an where an = (-1)"(mM) yn In this problem you must attempt to use the Root…

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Q: Suppose we are given a power series centered at 0 Σ anx". n=0

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Q: The series from n=1 to infinity of (n^4/5-9n^2)^n, does the series converge or diverge?

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