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.

Q: 4++ In*(n) + 4" + (n + 4)! lim (e) + (n + 7)! + 7-n + 7n77 + 7777' n-00

A:

Q: 00 00 7 32 57 'first S, = >, a, = lim S, = 1-r = - 'n, 5k 3* 4 n=blah

A:

Q: We want to determine if the sequence n 4+6n is monotonic. Using the difference test we get that sn+1…

A:

Q: 9" 45. lim n+00 n!

A: Here given as

Q: Write the first five terms of the sequence: +∞o {Thn) ( 7 ln n n=1 Determine whether the sequence…

A: Given problem:-

Q: nl (n + 1) n" (n + 1)(n+1) nl lim 1, because 0 < < 1. n00 nn 1. OTrue OFalse

A: Solve the following

Q: If lim an 0 then an diverges n- 00 n=1 O True False

A: There is a theorem which states that: statement: if a series ∑n=1∞an of real numbers converges then…

Q: Prone the tollowing Stadement . Fa any integes thint comesder h as odd & also n as even) n22, n3 is…

A:

Q: 1 lim 1+ n 1 + 2 + n 1 +...+ n→∞ п +n, : =?

A: first, calculate the sum of the series then find the limit of the given problem as following:-

Q: 7. Now using 4, 5, and 6, we have N < VN . 21(N). Get II(N) by itself on the right-hand side of this…

A: According to 4: N≤S(N).F(N) According to 5: S(N)≤N for every N≥1 According to 6: F(N)≤2∏(N) Solution…

Q: 12. Prove the following facts about the Fibonacci sequence (Fn): (1) (Chapter 10, #26) E-1 F =…

A: Given, The Fibonacci sequence (Fn) Fn=Fn-1+Fn-2, where F0=0 &amp; F1=1

Q: 21. lim (n(In(n +1) – Inn)) = 1

A:

Q: 33. Evalaute: lim n→∞ •n + 2 (n − 1) +

A:

Q: 2. Show that if a sequence {an} satisfies lim a2n lim a2n+1 = s then lim an = s. n 00

A:

Q: %3D 3. "Evaluate E (-1) nt2

A: Just add by substituting different values on n ranging from 1 to 3.

Q: verges absolutely or diverges. A 2" 1. n! 00 n=1

A:

Q: 1 , 1 , 1 1 = ? lim +..+ 1+n 2+n 3+n n+n

A:

Q: Let an = 2"+1– 2". Then, lim an = %3D n-00 None of the other options O the above co and the sequence…

A:

Q: * If {an} and {bn} are 2 sequences defined by 5n 5/n +31 ³ an = n and bn = sin-¹ (-) then lim (an +…

A:

Q: expand e^2x in powers of (x-1)

A:

Q: 1. E=4 diverges, En=4 n-3 diverges. SO n

A: Concept:

Q: 3. Parts of this problem are not related [3] (a) Find the limit of the sequence an = In(10n - 6) -…

A: The limit of a sequence with nth term an is given by the equation; L=limn→∞an

Q: lim N-81 o1 21 O 18 O 1 18

A: Given:     To determine: the value of the given limit

Q: lim In (1+1/n)" = Select one: a. 3 b. 1 C. 2 d. 0 ...

A:

Q: 6. For the repeating decimal 0.4127, consider tne first 99 digits after the decimal point. Hlow many…

A: We are given the repeating decimal: 0.4127¯=0.412741274127......

Q: 1. + 2+n 3+n 1. 1 11) lim +……+ = ? n→(1+n n+n ||

A:

Q: 17. lim (Vn² +n – /n? +1) = } n00

A: To show: limn→∞ n2+n-n2+1=12

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

A:

Q: Find the limit of s(n) asn → ∞. 64 ( n(n + 1)(2n + 1) n3 s(n) 6

A:

Q: 00 If 2a is converges , then lim a = ∞ %3D n=1 n- 00 صواب İhi

A: We have to check whether given statement is true or false.

Q: Suppose {Pi} and {qi} are sequences of real numbers such that lim pn = p and lim qn = q. Give an e-N…

A: suppose pi and qi are sequences of real numbers such that   limn→∞pn=p  and limn→∞qn=qSo by…

Q: The series If lim an = 1/π, then an diverges. np will diverge only when p € [−1,1].

A:

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

A:

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: 3(n + 1) n° + 1 lim 1; inconclusive 3n (n + 1)³ + 1

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Q: 5(7+h)"- 5(÷)* lim Express as a derivatve

A:

Q: th h if h is 18 क15 an eve nt in L (h) 1 than L(h) %3D

A: The answer can be given using simple probability formula.

Q: Find the coefficient of x^0 in the expansion ((x^2)+1/x)

A: topic - binomial expansion

Q: 15 The hypotenuse af a right triangle is5 long. che Tea is less than the Other. Find the leng ths of…

A: We can make it easier for you.

Q: lim 2k exp + 2) is k=1 1. (e* – e*). 2. (e* – e") 3. (e* – e²). 4. None of the above

A:

Q: 1. lim tV1+r

A: We will find the limit.

Q: 3.1 Evaluate п i + 1 n2 i=1 where n = 10, 100 and 1000 3.2 Hence determine n i +1 lim n2 i=1 n→∞

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Q: 2n + 1 2 1) Use e - N to prove lim n0 5n + 2

A:

Q: 2. Taylor notes the odometer on their car reads 49,996 at the beginning of their day. When they…

A: Theorem of function based on continuous. Odometer is continuous reading of distance.

Q: 1 + 2 +n 1 •+ n + n. 1 lim n→o \1 + n =?

A:

Q: ER be an initial point. For each n > 0, we define if an 0.5. - (a) Prove that if ao 1, then limn→…

A: Let a0∈ℝ be an initial point.  For each n≥0, we define  an+1=3an            if an≤0.5-3an+3   if…

Q: limn→0 E-1 3(1+ k=1 n O 10 O 8 O 78 O 26

A: Answer is :  26 Summation of series with the help of integration: By the definition of of integral…

Q: lim In (1 + 1/n)" = Select one: а. 3 b. 1 С. О d. 2

A: