Since the MacLaurin series for In(3 + x) is In A+ -1)"+1 nB -", which of the following are n=1 A and B respectively?

Q: What are the all composition series of Z45?

A: What are the all composition series of Z45?

Q: Find the sum of the series n (r +1) (n+2)* 32 (n +3*) 3/2 as n → 00_ n +(n-1)| 3/2

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Q: 8n n! n3D0 8.

A: According to the given information it is required to find the sum of the series using the Maclaurin…

Q: What is the expansion of the series Σ 3*+1? n=1 9+27+81 +243 9+12+15+18 3+9+27+81 3+6+9+12

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Q: 1 = 1 +x+x?+ 1-x Ex", I지<1 n=0 1 = 1-x+x2- ... + (-x)"+ 1+x E(-1)"x", x|<1 n=0 x2 ex = 1+x+ 2! x"…

A: use e^x expension

Q: 9) For ealh of Sum or determine that it A) (-2)プ 5h hzo B) a (-2)"32h 2nt1 (Ttuと

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Q: 1. Eind the Maclaurin Series f The fine tion flz)- Z-7 f the %3D

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Q: Use power series to show that 1 1 1 e =- + 0! +...** 2! 3! 4! 5! 6! 117

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Q: If z is a variable, then the infinite series of the form is called n Σ" =a + a₁ + ª₂x² + ... + ª₂x”…

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Q: The series 94 is - 1 v and its sum is n2 n = 2

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Q: For this arthmetic series, find S22 -6+(4)+(-2)+0+... to

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Q: Where does the subsequence series Nk = 2kpi come from? While I know it's used to specify the set of…

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Q: Find the sum of the series S. 3- 3 In(8) 3 (In(8))? - 3 (In(8))³ _ ... 2! 3!

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Q: 7+7+77+ 49 + to 12 terms

A: We need to find the sum of the series 7+7+77+49+... 12 terms. So,                  7+7+77+49+... 12…

Q: Find the sum of the series o (n+1)? 3 (Yukarıdaki serinin toplamını bulunuz.) Lütfen birini seçin: O…

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Q: Evaluate the infinite series described 1020 256 64 16 625 125 25 5 00 n - 1 +096· 4, n= 1 i – 1 4) 1

A: For a geometric progression, a+ar+ar2+ar3....., the common ratio, r is defined as the ratio of an to…

Q: divergent: Select one: O True False ts) The following series is 8 Σ6- n=1 3 n-2

A: Given: ∑n=1∞6-35n-2

Q: Find the nth term of the following series: 1.) 3 + + + 21+ 2 .... 2.) 1 − 4 + I 1055 10! +

A: We want to find the nth term of given series.

Q: (In 3)² Evaluate 3 + In 3 + (In 3)" + ... + .... 2! n!

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

A: Given : It represent Geometric series :

Q: a f(x) = √++ x b. fcx.)..z f(.x.)..=.! (1+X)4 f(x)= X 4+x² 2

A: The functions are given as a fx=1+xb fx=11+x4c fx=x4+x2 We need to expand these functions using…

Q: 1 e3 n=0 3"n! The sum of the series 2 True O False

A: To check: Whether the equation is true or false. Given: The equation is ∑n=0∞13n·n!=e3. Formula…

Q: Determine whether the series 11n? + 8n + 32 is n³ + 3n2 – 7n + 1 n=1 convergent or divergent. b)…

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Q: Find a power series for + 3.

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