Consider the sequence Xn = + We wish to prove that. Xn → 0. Given e > 0, we must find NEN such that for all n > N we have |xn| < e. Which of the following choices of N work? Select one or more: D U [3] 0 [²] J T L [9/1 J - 5/6 5/6 -

Q: 100 (e) Σ199 2i(i3 – 1) i=1

A: To find the sum of- ∑i=11002i(i3-1)

Q: 9. Given an infinite collection An, n=1,2,... of intervals of the real line, their intersection is…

A: Let An : = [ n ,∞)  where  n = 1,2, 3 .....  . So { An } n∈ℕ is an example of infinite collection…

Q: 15. Find x so that m || n. (5x – 20)°

A:

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: Shift the index so the sum starts at 0: 2 1. Σ% -13/1 3k 5 2. [ k=1 k(k+1)

A: 1.  Given,       ∑k=-1∞ 23k

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A:

Q: Find all the values of t so that 8et > 0. O-∞ 21/1/2 8 Otzo

A:

Q: Evaluate the summation 3i+1. i=1 50 60 20

A: Given query is to find the value of the summation.

Q: Wht is the sum of this 8.1 - 3.1 x 2.1 + 0.4

A:

Q: 74 (i + 1) j=2 (i - 1)

A: The given sum,   ∑i=2741i+15-1i-15

Q: 1009 1010 R= E (2k) =2+4 +6+ ... +2018 and S= 2 (2k- 1) = 1+3+5+...+ 2019. What is the value of R-…

A:

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Q: The value of the erf(-∞) * 0 1 O -1 O -0.5 O0 00 8.

A: To find value of erf(-infinitely), we have to draw the graph of erf(x):

Q: For the given explicit formula, find the recursive formula. f(n)=18-3n.

A: The explicit formula

Q: v1 = 0.7 vn = 3vn-1 - 0.3 a.  identify the formula as recursive or explicit b.  find the first…

A:

Q: (0.4) (2) ODN (0) Jo 0<- 0 1 172

A: The given problem is to solve the given partial differential equation with given initial conditions…

Q: Transform the following sum by making the change of variable j =i-3. Here, n23 is an integer. 2 – 4i…

A: We use the given relationship between i and j to transform the given sum.

Q: Follow

A: Here, we have to find the index so that sum starts at 0. We substitute the value in given sum.

Q: Transform the following sum by making the change of variable j=i+2. b 2-1 (i+1)(n+1)

A:

Q: п Find a formula for II (1- ) : and verify. k2 k=2

A: We will expand the terms and check which terms are getting cancel each other

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A:

Q: α. Σ=of (2k) b.Σ=2f()_c.Σ=19(f(k)).

A: we need to evaluate the sum."Note that as per the rules, we are supposed to answer the first three…

Q: 3. WRite 6+11+16+21 +26731+36+41 in summation notation. @M (SK+1) O (K+) (SK+6)D (K+5) E None of…

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Q: 7P is separable for 1sps0 ylan O ihi

A:

Q: 8. Prove the following. A. Let X = {a e N|a = 3t + 4, for some t e N} and Y= {a eN | a = 21t + 4,…

A:

Q: There is a simple formula for the sum of the first n cubes. n' (n + 1)2 n i=1 Using this formula,…

A: Sum of cubes