Exercises 25-29 refer to the following definition. Definition: The least common multiple of two nonzero inte- gers a and b, denoted lem(a, b), is the positive integer c such that a. a|c and b | c b. for all positive integers m, if a |m and b | m, then c < m. 25. Find b. Icm(2² -3-5, 2 .32) a. Icm(12, 18) c. Icm(2800, 6125)

Q: Exercise 3. Let x € R. If x > 1, prove by induction that r" >x for every integer n > 2. If 0 2.

A: To prove if x&gt;1, xn&gt;x for every integer n≥2 For n=2 x2&gt;x…

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A: As per Bartleby's answering policy, we can answer only one question, so kindly post the next…

Q: a Prove that < 16 – a| for each a, b e R. - V62 + 1 Va? + 1

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Q: (b) Let A¡ = [-i, 1] for every positive integer i. Find U A¡ and N1 Aj.

A: Given that Ai=-i,1 for every positive integer i. That is, A1=-1,1, A2=-2,1, A3=-3,1 and so on. To…

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A: We have to show that 2 is equal to the product of a unit and the square of an irreducible in Zi. The…

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A: To find the number of maximum electrons in 5th shell

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A: We have to show that given inequalities is holds

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Q: 94) Show that F= ;². ?' is Consenvatwe and gind potintial - the sealar

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A: There are multiple sub parts of question, As per company policy Ask other sub part separately.…

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A: We are given that  : A={5n+1, n∈N} Now, we know that , n is a set of Natural Numbers :…

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Q: Let an= こn らnf1 a) de ter mine whetber I an] is conver g ent or diver gent b) determine whether

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Q: (6) Prove that the set integer Z is denumerable, i.e., n(Z) = N,

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