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

Q: EX/ show that im Cosy-1

A: Given limit is : limy→0cosy-1y To prove  limy→0cosy-1y=0 Use the trigonometry formula,…

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: Deduce that

A: To prove that                limn→∞nn2n!=0

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

A:

Q: Explain why it is not necessary to use the Quotient Rule to compute

A: Because in the first expression x is in the numerator and we are doing partial derivative with…

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: [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: has

A:

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

A:

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

A:

Q: 9. For each n E IN, let Xn be the set of polynomials of degree equal to n, and let Pn = U_0 Xk. True…

A:

Q: Zim x²-3x³ +5 X-700 X²4 +12X10+ 5

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

A:

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

A:

Q: evaluate the limit.

A: