If the partial sum SN N Σ n=1 ii) S3 dim iv) a2 [Select] [Select] iii) lim (5a, + SN) 8-8 [Select] - N an is defined as Sy = 4 + n=1 [Select] (1)" find

Q: Find the constant term in the expansion (2y + 1) O 4032 4232 O 4323 4023

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Q: 4. Ifx, = 60 and x = 90, find each of the following: %3D a. (x, - 7) b. Σx-7 C. (x, + 2) d. Ex # 60…

A: Since you have asked multiple questions we answer only question number 4.

Q: Find the sum 1 C|~ SA 3 π² 4² (21) + 44 (41) 4 (61) +

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Q: step below "so" is not clear. Also not clear as to how summation sign comes outside the inner…

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Q: „i 4+! -2 29. lim n00

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Q: Please help evaluate each sum knowing that f(x) = x2, g(x) = 3x , & h(x) = 2/x

A: f(x) = x2, g(x) = 3x , & h(x) = 2/x

Q: Consider the sum (3)2 + (8)² + (13)2 + +(15n-2)2: ... (a) Write the sum in sigma notation.

A: Consider the sum  (3)2+82+132+.....................+(15n-2)2

Q: Find the sum : [00 En = n=0 (-1)" πT 2r q" (2n)!

A: We have given a series ,  ∑n=0∞ (-1)n π2n9n 2n! We need to find the sum of series ,  ∑n=0∞ (-1)n…

Q: lim x → 0

A: →When limit is of the form 00 or ∞∞ then we use L'Hospitals Rule  →In L'Hospitals Rule , take…

Q: Compute 4n — бп? lim Vlan| for a,n %3D 3n2 +7 n-00

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Q: Classworc B Auguer Alge baic Exicesions 6. ALGEBRAIC EXPRESSIONS Name: Date: 7 1. Simplify 2x – 9y…

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Q: (a) Let n EN. Determine the set of all integers which leave a remainder n+1, n+2, n+3 when divided…

A: PART A As it is given that 2n+1, 2n+3, 2n+5 are consecutive odd integers so they are pairwise…

Q: Q.12) Suppose the summation xi = 81, summation xi2 = 509, n=20, and yi = (xi - 5)2, a.) find…

A: Given that Suppose the summation xi = 81, summation xi2 = 509, n=20, and yi = (xi - 5)2, Than we…

Q: Find the exact sum of Σ n=1 2 4n? -1

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Q: Evaluate the summation: 1(11)+2(2!)+3(3!)+...+t(t!); t=3

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Q: 2. Expand the following summations: a. b. Σxy c. Ef-o(2 + z;) d. E- x+ y e. E(axi+ b)? f. E(2xi+…

A: Multipart:  We need to expand given summations ,  We know that , summation is the addition of…

Q: lim,-«G)* + x²+4 ()* limx--o %D 3x +1 a. -1 1 c. -3 Od. 3.

A: Given, limx→-∞53x+9x2+43x+1  We have to evaluate the limit.

Q: 4. Let n >1 be an integer. Consider the following expression 3 (3* – 212 + 2) – 2 (3* – 3k2 + 2) k=1…

A: Let's find.

Q: Determine the 3z 1 2x 1 2x 5 lim 00 O 00 2/4

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Q: How and why does the first summation in this picture turn into the finall summation?

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Q: -+}- + 1 1 1 27 1 2) Write the sum using summation notation: 81 2. i = 1

A: Geometric progression

Q: 5-V4+3s lims→7 7-s

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Q: Find the limit of the sequence an 14n+2 or 2+7n indicate that it is divergent. Select one: O…

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Q: Zero(s) of multiplicity one: Zero (s) of muit iplicity jwo Żerols) of muitnpncitj inree:

A: multiciplicity is no of times repetation of zeros that is known by putting given equation to zero.

Q: Use the Geometric Sum identity to prove that, if r 70, then (1 – x)3 1 =1+ (1 - x) + (1 – x)² + |

A: The objectives to use geometry sum identity to prove the following expression.

Q: Use Parseval's equality to show that 776 960 = n=1 1 (2n-1)6*

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Q: inc

A: Our Aim is to find the consecutive integers such that  the sum of their squares is 202.

Q: inf{a,b, : n e N} > (inf{a, : n € N}) × (inf{b, : n E N}). (1) Does the inequality (1) continue to…

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Q: S+1 1- FI)

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 17. lim 12n+9 5n - 1 12

A: Consider the given limit  limn→∞5n-112n+9

Q: Evaluate the sum 50 Σ(2 · k + 5) = k=1 50 Σ5₁(2. k+5). k=1

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Q: Find the sum of products for the following expressions. Show your result in the algebraic form AND…

A: We have to find the algebraic form of the given problems.

Q: 17. lim n00 10n + 12 10 +0

A: Given- limn→∞n10n+12=110 To prove- The above statement.

Q: Lim 3 128 2 J

A: