Find the sum of the series (-4)"-1 +2" Σ 8n+1 n=1

Q: Find the sum of the series. (-1)^6"x6n n! n = 0

A:

Q: Find the sum of the series: (-1)"-1 (b) n3" n=1

A: Solution:

Q: Find the first four terms in the maclaurin series, for y X √7-X2

A: Given: y=x1-x2 To find: The first four terms of Maclaurin series.

Q: Find the sum of the series: a2n-1 n!

A:

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = 5, f' (0) = 9, f"(0) = -7,

A: Consider the provided information, f0=5,f'0=9 and f''0=-7. Write out the first four term of the…

Q: Find the sum of the series n-1 1 n(n+2)

A:

Q: Find the sum of the series  ∑ (-1)n(1/64)n-1/(2n+1) from n=0 to infinity

A: Given, ∑0∞-1n164n-12n+1= ∑0∞-1n64-(n-1)2n+1                                              =…

Q: Find the sum of the series 3n-1 7n n=1

A:

Q: Find the sum of the series.

A: After separating both terms, the series becomes infinite geometric series.

Q: Find the Maclaurin series of x 28 Σ n=0

A: Given, f(x)=x8ex9

Q: Find the sum of the series. Summation of (-1^n)(pi^2n)/(4^2n)(2n)! from 0 to infinity

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Q: Find the sum of the series. (-1)" 42n+1 (2n+1)! n = 0 Σ

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Q: E()*- ()*). k k k=1

A:

Q: Find a simplified series representation of a°e4z answer = n=0

A: Given: The function x6e4x, To find: Series representation of the given function.

Q: Find the sum of the following series Σ>- 2n n=1

A:

Q: Express the series using sigma notation 6m + 3m + 0 + (-3m) + (-6m)... E-3bn +9b E-3bn – 9b E-3bn…

A: Use the expression form the summation form

Q: Find the sum of the series (-1)" n² + 1' n=1

A: We will use fourier series to evaluate the sum of this series

Q: Find the sum of the series: 3n (a) n! n=3

A: Series expansion of ex is: ex=1+x1!+x22!+x33!+...ex=∑n=0∞xnn!

Q: By rewriting the summation of the power series E(n- 1)C„x" + E 2nC, x"-1 +E C,x+1 = 0, we obtain:

A:

Q: Find the sum of the series. e -8x² Σ (−1)n 87x6n n = 0 n! X

A:

Q: The sum of the series Σ 1 is: 2" n=1

A: Given that: ∑n=1∞12n

Q: Find the sum of the series. Er-1)^2"x6n (-1)' n! n = 0 8

A:

Q: Find the sum of the series. (-1)" Σ 72n+1 (2n+1)! n = 0 8

A:

Q: Find the sum of the series: x3n – 1 n! n=0

A:

Q: Find the sum of the series. Σ (-1) 40x8n n! n = 0

A:

Q: Find the sum of the following series. ΣΗ (-1)", + 2n ( 1 5n n=0

A: Sum of following equation  This is GP

Q: Find the sum of the series. Σ (-1)" 32n+1 (2n+1) n = 0

A:

Q: Find the sum of the series: 3n -1 n! n=0

A:

Q: Find the sum of the series (-1)"-1 (n + 1)ni"-1 n=1

A:

Q: Find the sum of the series >(-1)"2"x" . Σ n=0

A: Let's find.

Q: -1)n-12n+2 5n n=1

A:

Q: Write out the first 5 terms of the series E(- 1)"- n=1 n =1 n25n

A:

Q: Find the sum of the series. 00 5n Σ 9"n! n = 0

A: we know  ex = 1+ x/1! + x2/2! +.....

Q: ,5n-3 Find the sum of the series: n! 0-

A:

Q: Find the sum of the series. 9n n-1

A:

Q: Find the sum of the series. (-1)^72n Σ 42n(2n)! n = 0

A:

Q: Find the sum of the series 22 +. 2 +n' 12 1 +n° as n 2n I +n

A: Solution is given as below:

Q: Find the sum of the geometric series with a₁ = -1, r= 3, n = 9 O-8278 O-9841 O-9746 O 1/2

A: Given query is to find the sum of the geometric sequence.

Q: Find the sum of the series. Σ 6"n! n = 0

A:

Q: find the sum of the series

A:

Q: By differentiating the Maclaurin series 1 (-1)"" term-by-term, find the sum %3D 1+x 2n of the series…

A:

Q: The sum of the series > 2"+23n is n=0

A: Given : ∑n=0∞2n+23-n

Q: Find the exact value of the series. (-1)"72n 62n (2n)! T n=0

A: find the exact value of the given series

Q: Σ n2+3n+2 n=1

A: The given series is: ∑n∞1n2+3n+2  We have to find sum of this series.

Q: What is the sum of the series (1)/(n2-1) if n starts at 2 and goes to infinity?

A: To find the sum of the series  ∑n=2∞1n2-1

Q: Σ Rewrite n(n-1)c,x"-2 +x 3cx" as a single power series with the n=2 n=0 general term containing x.

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the sum of the series. 8" n! n = 0

A:

Q: 3. Determine (with detailed reasons) whether each series is AC, CC, or D (-1)" ( a) Σ In n n=2 n2 +1…

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Q: Find the sum of the series. (-1)^5"x2n n! n = 0 8.

A:

Q: Find the sums of the series

A: Given series : ∑n=0∞ e-n The given series is ∑n=0∞ e-n=e0+e-1+e-2+e-3+.....∑n=0∞…

Q: k(2k + 1) k = 1

A: I am going to solve the given problem by using some simole algebra to get the required result.

Q: 1. Find the first four terms and the (n + 1)th term of the series whose nth term is: (-1)*-1, (2n)!

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Find the sum of the series. 15. n-1 n· 2n n=1

A:

Q: Find the exact sum of the series: 00 (-1)"3n-1 (2n)! n=1

A:

Q: Find the sum of the series. Σ (-1)"72n 32n(2n)! n = 0

A: It is given that ∑n=0∞ -1nπ2n32n2n!. We have to find the sum of the given series. For this, we have…

Q: Find the sum of the series

A: We have given series ∑n=1∞24n2-1 We have to find sum of this series.…