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: 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: Determine whether the series is absolutely co Σ (-1)" + 1 n! n = 1

A: Given the series ∑n=1∞n65nn!(−1)n+1

Q: All] The Maclaurin series of ln 8 +... ) 2x + ³ ++ ... 192 + +... 2880 글20 + z° +

A: Given:      fx=ln1+x1-x A Maclaurin series is given by fx=∑n=0∞fnan!xn here fx≈Px=∑n=05fnan!xn So,…

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

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Q: 15) of the fist 20 terms of the series 5+8+11+14+...

A: The explanation of answer as follows :-

Q: Let f(x) = 2x² - 4x + 5. Use the € – 8 definition to prove that lim 2x² - 4x + 5/8. x→-1 Definition.…

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Q: Consider the alternating series 116 Kn+3)! n=15 n=15 and the following propositions: 1. lim an = 0…

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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: Aşağıdaki serilerden hangileri. 2n +3 serisi ile aynı karakterlidir? 3n+2 n=2 Σ n +3 n-1 П. Σ III.…

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Q: Which of the series α) x − x³ + x6 − x¹0 + x¹5 b) X x² x3 xs .... are power series?

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Q: 4) Let Eanbe given series and let Eb, be series in which the terms are the same order as in Ean…

A: Given- Let ∑an be given series and let ∑bn be the series in which the terms are the same order as in…

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: Determine whether the series k=1 3\k-1 converges and if so, find its sum.

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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: +∞ Σ η=1 η n' + 1

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

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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: п+2 п(п + 1)2"+1 n=1

A: Consider the series ∑n=1∞n+2nn+12n+1  First we will express the given series in the form of…

Q: aclaurin series, ollowing infinit-

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Q: 3) 1 - + 4! 7! 10! 4) 3 +5. 2! +. 3! 4!

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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: Find the Maclaurin Series for Rixjz J

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Q: The Root Test fails for the series E(1- 4n Select one: O True O False

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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…