2. Let x₁ > 1 and X+1 = 2-1/x, for n = N. show that (x) is bounded and monotone. Find the limit.

Q: b) Evaluate UTM L{t*e=# 6(t – 2)}. UTM

A:

Q: Find the limit of the sequence an (cos n) 2"

A: The absolute value of the cosine is is not greater than 1

Q: (h-u) -I6

A: topic - quadratic equations

Q: Nice property Prove that 1logbc21logcb2= 1, for b 7 0, c 7 0, b ≠ 1, and c ≠ 1.

A: 1logbc2·1logcb2=1 for b > 0, c > 0, b ≠ 1, and c ≠ 1.

Q: 10. Give a combinatorial proof: For n ≥ 1 and k ≥ 1, (n)k = n · (n − 1)k-1.

A: To give: A combinatorial proof: For n≥1 and k≥1, k·nk=n·n-1k-1.

Q: Queston1 use the Subititution Iy =u 9) (xy41) dx +2x²y=0,

A:

Q: Q2) Evaluate the limit at x = -2 for: x 1 2x2 4x - 8 S(x) x² - x- 6

A:

Q: K CK-1) In(k-1) k-3

A: To find if ∑k=3∞kk-12lnk-1 is convergent or divergent: ∑k=3∞kk-12lnk-1 is convergent. To show this…

Q: 1 lim E n→ 00 i=1 'n² + i?

A:

Q: -3n2 + 2n 2n2 + 4n +7 Compute the limit of (an) and prove it where an %3D

A: Evaluate an1∞ Where an=-3n2+2n2n2+4n+7

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

A:

Q: [피]-3 lim z--3 a- 2 - 3|

A:

Q: Evaluate lim a,2)→(2,3) 2y2 +3xy 5xy+a?

A: This question is related to limit of function of two variables, we will use direct substitution…

Q: Part a: Assume that the height of your cylinder is inches. Consider A as a function of r, so we can…

A: Part a) Ar=2πr2+16πr As area cannot be negative or zero. So, Ar>0 i.e., 2πrr+8>0 ⇒r>0 or…

Q: has

A:

Q: Find the limit as x--> ∞ lim In x2 O 2x 00 8.

A:

Q: What is the limit of 3x4 as x approaches ? 1 2 12 evaluated 2 3 16 0 1 16

A: Given problem:- limx→12 3x4

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

A:

Q: Find the one-sided limit

A: Given: limx→-12+6x2+x-14x2-4x-3

Q: 1 Evaluate: lim 1 + 4x 4 0 4 e O Ve O e4

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :   =…

Q: lim (1+ 00+u Select one: ○ True ○ False = ex n

A:

Q: Show that: If |z| = 2, then: z* – z2 – 4| Re < 6 z + 6

A: A complex number z=x+iy are graphically represented as (x,y) on coordinate plane. The polar…

Q: inc

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

Q: Find the following limit: VI10_5 (x+3)2 lim0

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Q: The limit, lim 2(x + h) ² - 2x² h-0 h

A:

Q: evaluate the limit.

A:

Q: nd the ndcaed liml lim 15X +3

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Q: Find the Bernstein Poly nomial when You put n =5. that means want to find Bn (f/(x)

A:

Q: What does it means to say that limits of polynomials may be evaluated by direct substitution?

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Q: The set of 2 x 2 matrices Mgxa with standard matrix operations is a vector space. Problem In Mara…

A: