limn0 In(2n-3) -) is 8. n+5 Select one: 2 non of them

Q: (a) 5 Find the coefficient of x in the expansion of (2x -) . (b) Hence find the coefficient of x in…

A: You can use the binomial expansion to solve the problems as follows :

Q: 4). limm. Tã メー>+00

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Q: M8 etermine whether th 4(3k)! k=1 (k!)3

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Q: R.1. Show that among 14 distinct integers, there must be two that have the same remainder when…

A: In order to prove this statement pigeonhole principle has to be applied. According to pigeonhole…

Q: – })* Q7. In the binomial expansion of (2 written in terms of descending powers of x, find: a. The…

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Q: 4. Find the 11th term in the expansion of 25 3r- + 5.x

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Q: 8+ド. K 13 let y6)=1 andyい し" Find Ķ

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Q: n+1 2n +3 lim 2n +1

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Q: Find the limit:

A: Evaluating the given limit:

Q: 812 5. Calculate: lim 2n + 97n

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Q: lim еxp is n exp 1. (e-e) 2. (e -). 3. (e* - e2). 4. None of the above O 1 O 2 O 4 3.

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Q: 2n+3 €2? For which integers nonnegative n is prove YOur answer

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Q: 3 find the muItiplicity find the end behaviar

A: Explanation of the answer is as follows

Q: 12 2. lim

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Q: ADMATH 8. 2.) cunvergent n. divergent or n=0

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Q: 2016 N Q3 -= V3-3. V3 - 1 a Without using a calculator, find the integers a and b such thất V3 +1

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Q: n=1 m sup,+∞ an = (lim infn an)+2. %3D n-00

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Q: lim (Vn? + 4n –- n) = n-00 Select one: O 1 O 2 2 none

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Q: Find 0.2% of 810

A: Given query is to find the 0.2% of 810.

Q: Find the rational number representation of the repeating decimal. 0.486 (there is a line over the…

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Q: Find the proportion of primes p in the interval from 10^12 and 10^12 + 1000 such that p-1 is B= 105…

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Q: Q1) Find the value of the eighth term for the consequence after finding nth * terms 8, 4.5, (5/3),…

A: Sol:- Given,    8,4.5,53,5.512By fitting the first four terms of the givensequency by third degree…

Q: erertotheFurcions moncpl2))), noo =X-3 P(X) X12 iSthe answersyly of or-04 191 1331

A: We need to use the definition of composition of multiple functions

Q: limn→∞ √n = ∞

A: Given :limn→∞ n

Q: Give a combinatorial proof (an algebraic proof will not be accepted ()()-(")- (;) 2n n 2 . -2. 3 3

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Q: find the nth term of 1/2, 1/4, 1/6, ... , n = 7

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Q: n+2n Show that represents an integer Vn EN.

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Q: Let B = [b1, b2, b3] = -1 -1

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Q: 7 45 and fourth term of (3x -) 6. Find the product of expressed 2 as P.

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Q: an n+3 Find the smallest number M such that:

A: Given: limn→∞n+3n+5

Q: 17. lim (Vn² +n – /n? +1) = } n00

A: To show: limn→∞ n2+n-n2+1=12

Q: 6h term of a G.P. is 9375 and its 4th term is 375. ind its 9th term.

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Q: 7 (1+ lim *|の

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Q: 6* – 2 - lim x→0 ekx +7 k = (If any value of k will work, enter any; if none will work, enter none.)…

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Q: Compute аn+1 lim n-00 An for (-3)" an = 2n+1 * Enter your answer as a decimal number, not as a…

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Q: п n 9. Using the Binomial Theorem, show that Σ = n 2"-1. k k=0

A: We need to show that- ∑k=0nknk = n2n-1

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Q: Find the coefficient of x9 in (2-x)19.

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Q: 6. Find the remainder when 721 divided by 43 7. For a given integer n, prove that 3 k-0

A: To find the remainder when 7221 divided by 43. Now, 7 and 43 are relatively prime and 43 is a prime…

Q: Show that...

A: We have to show that: n1=nn-1 for n≥1. We know the formula, nr=Crn=n !r ! n-r ! Applying above…

Q: k) lim(23+10¯"

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Q: Suppose you are expanding (5x - 2y)º. a) i) How many terms are there in the expansion? ii) State the…

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Q: 5i In (2+ 5 lim

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Q: Suppose you are expanding (5x - 2y) a)i) How many terms are there in the expansion? )State the…

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Q: 3n – 5n is n→ o n° - 2n² +1 lim 3

A: It is given that, limn→∞3n3-5nn3-2n2+1.We have to evaluate it.

Q: lim, o0 (3 In (4 + z) – In (2x³ – 5)]

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Q: Determine lim by using an appropriate Riemann sum

A: limn→∞1n312+22+32+…+n2=limn→∞1n12n2+22n2+32n2+…+n2n2 Now consider f:[0,1]→ℝ, defined as f(x)=x2.…