For a ER and nEN, lim O (A) True. O (B) False. a" = 0 if | a|>1.

Q: lim no n! Select one: a. 0 b. -1 C. 3 d. 2 O O O

A: Expend the given expression for all n than by comparision find out the limit.

Q: 1) a)lim n(a (aa – 1) =?

A: Given: limn→∞na1n-1 We can write, limn→∞na1n-1=limn→∞ a1n-11n We get the indeterminate form

Q: 6. Evaluate limx Sin (3x) 4x

A: let

Q: lim (1,9) >(2,4) || O 12 O 15 09 O does not exist O 6

A: Please refer the attached image for complete solution.

Q: m An = {-: m e N}, ne N, n where N are non-negative integers. What is lim inf A, and lim sup A,?…

A: To find the lim sup and lim inf of the given sequence An .

Q: for Ea, , if lim a,=0 then the root test fails n = 1 Select one: O True 18 O False

A:

Q: lim an lim 2 ニ2,

A:

Q: If dis a positive number, then lim a? = d². FALSE O TRUE

A: Consider the provided expression, limx→dx2=d2 Find the limit of the provided expression. The given…

Q: (а-2)п2+4п+1 Find a. b if lim an = 2 for an -). (b-3)п+2 n→∞ O A. 6 Ов. 8 Ос. 10 OD. 12 O E. 20

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Q: 6. Evaluate lim r/(1-z) 2+1+

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Q: 06. lim, ,xCsC x xcsC X

A:

Q: - a) Evaluate lim x- - 2 3 + x x + 2 2.

A: First solve then apply limit

Q: 2n +1 a) Using the definition, show that lim n00 3n +4 3

A: Given,           limn→∞2n+13n+4=23

Q: The value of lim, el3z-2) is_

A: limx→1e(3x-2)

Q: 4) lim1+ 1 = ? %3D - r-

A:

Q: proof that it An then Lim ヘーつ it And then Lim かy

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Q: Fird the vaue al lim 3. 1-3 (al 18 (b) 10 (e) 1/12 (d) -10 (e) -19

A: To find the limit we have to put the value of x in the given expression. If the expression give…

Q: 6. Determine lim 32. Show your work. a. -16 i b. -6 [-+x C. d. 19 119

A:

Q: Evaluate N εν Σ √19 lim N→∞ N 19 19 19(1) - 2

A: limN→∞1N∑j=1N19-19jN2

Q: In x is lim sec 2x x→1 Select one: a. b. T C. 2 d.

A:

Q: Find the limits in Exercis

A: We can find the limit of an expression by applying the limit point to the variable in the expression…

Q: 2n j3 lim - 24n n00 j=1

A:

Q: Find lim (a + 2ar + 3ar² + n→∞ .. +nar"-¹) where |r|< 1.

A:

Q: Evaluate 1 1+x)s - (1-х) x)8 lim X - |00

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Q: Evaluate lim, (-5x + 5 – 5 - ) 12 O + O 5 O-5

A:

Q: I. lim (-7) = -28 How many of the following are true? II. lim (a? – 4) = 5 x-3 sin x III. lim =D0…

A:

Q: 2х -1 The value of lim, is 2x2 +1 1 x→-- 2 a) 3 2 b) - 4 | d) 3. 4 3. 3.

A:

Q: –13x e + e6x lim x → 00 x2 O 13 O 0

A:

Q: Suppose Σan = 5. What is the value of lim an? =0 n-0

A:

Q: The value of lim,→2 e(2=- is а. 0 b. 1 C. None d. 8 e. 7

A:

Q: 2+x a) lim x-22+x²

A:

Q: The following statements are true EXCEPT A. lim x →2 x²=4 B. lim  x →-2 x=-2 C. lim x →-2 x³=8…

A:

Q: Suppose Σto an no an5. What is the value of lim a,? 72-0

A:

Q: 24. Evaluate lim (13 + 23 + 33 + + n°). n-00 n*

A: To evaluate the below limit.