5x b) lim lim-0 2ln(x+1) ex-e-x c) lim lim-0 2x x2-2x-3 d) lim lim-3 x-5x+6

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A: In order to evaluate the limit of a function f(x) at certain point a then replace x by a to get…

Q: 2-limx-o(x. secx.cscx)

A: To find the limit of the following.                                     limx→0 (x sec x csc x)

Q: 4) evaluate lim x-->2 (2x2 - x - 6) / (x2 - x - 2)

A: Explanation of the solution is given below...

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A:

Q: What is the value of lim (1+ 4 )": п 4n O-1+i V2 O 1+i V2 O -1-i V2 1-i V2

A:

Q: 10. Find the indicated limit. x²5x - 14 lim x→7 x - 7 Show any work necessary

A:

Q: (2x-1)(3-x) is (x-1)(x+3) limx→0

A: Given problem is :

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A:

Q: 3- Vx Determine lim- x+4 x-9

A: Given limx→43-xx-9

Q: 5. a) Explain why lim vx-3 does not exist. b) What about lim V(x 3)2 ?

A:

Q: 1 Find lim - and lim 1 x→-0 x

A: This question is taken from the limit in which we have to find the limit of the given question. We…

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A: 1)         1) limx→2x-2x2-4            = limx→2x-2x-2x+2           = limx→21x+2           =…

Q: Find the limit. 1. lim┬(x→-1)⁡〖(2x^2-x-3)/(x+1)〗 2 lim┬(h→0)⁡〖(√(2+h)-√2)/h〗 3. lim┬(x→5^+…

A: According to the given information it is required to find the limit. For part (1)

Q: V2x + 10 + Vx² – 5x + 10 lim - X→-1 x² + 1

A:

Q: (b) With the help of Sandwich theorem (or Squeeze theorem), show that lim (2 √√x - 1)" = x² for x ≥…

A: By using Sandwich theorem,  we have to show that ;   limn→∞2xn-1n = x2  for x≥1

Q: 22-4 Evaluate lim x→2 x-2 Submit

A:

Q: 3) lim-) 1 х-1 \x-1 In x)

A:

Q: 10 Find lim x12s 3. X->- X -25 2 lim Jx +3 - 2 メ→」 O lim Sitx - -x 3. 1-X 2 X

A:

Q: х3-x2-5х-3 (х+1)* (iii) lim x-1

A:

Q: 1. Find a) lim x3 3-x b) lim- x3* 3-x ,c) lim- x+3 3-x

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 1- Find the limits: lim x→I x- 1 а. 2x3 b. lim x- 00 3(x-2)2 2x3 c. lim x-2 3(x-2)2 x+1 d. lim x-3…

A:

Q: Find the lim inf (xn) and lim sup (xn) of Xn=3-(-1)"

A:

Q: 2х — х +3 compute lim- x>* x² - 2x +5

A:

Q: 16 2x lim x2 – 4 x – 2 x→2 - -

A:

Q: Find the limits

A: To evaluate the limit: lim1x2-4 (a). When x→2+. Evaluating the limit. limx→2+1x2-4=12+2-4=10+=∞…

Q: O Find 2- X Lim X→2 2- 2X X #2 xY _ 2x² – 8 x² - 4 2 Find Lim x²- 2x²- 8 X->2 Lim 3X X→3 X- 3 -3 X…

A:

Q: Find the exists. 5 x а. lim 3 5x'+1 b. lim 10х-3x +7

A: Given that: a. limx→-∞5x-x3b. limx→∞5x3+110x3-3x2+7c. limx→∞5x2+2x2+3

Q: compute: Lim x2 + 12x -5 (x->1) Lim x+2/x2-4.    (x->1) Lim x2-9/x2-x-6 (x->3)

A:

Q: By L'Hopital's Rule, X-2 lim x→2 X²-1 1 1 lim. = x→2 2X 4

A: L’Hospital’s Rule: Suppose that  limx→a f(x)g(x)=00  OR  limx→a f(x)g(x)=±∞±∞ where a can be any…

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A:

Q: 12-x-x 1- Prove that lim -7 %3D x-3 V6+x-3

A: our objective is to find the limit

Q: 1:3.5. - - (2n-1) now lim lim (n+1)! 1.3. 5-- - (2n-1)

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A:

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Q: 1. Find the limit. x² - 25 lim x 5 x² - 8x + 15 ૨૨

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Q: Determine the infinite limit. x2 + 6x lim x-3 x2 – 6x + 9 8

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Q: 3 Find limx-2 Using a table. х-2

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Q: -10x lim x→4- x – 4 -10x lim x→3+ x – 3 -

A:

Q: 4- Prove that lim- tan 2x 5-lim 2(-3+x)²-18) x-0 X-0 2.

A:

Q: How do you solve question 5 and 6?

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Q: 2. Find the imit lifany) メー5 X-25 lim X25

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Q: /14-х-3 lim 1-V6-х X→5 4-Vx lim х>16 16-х

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Q: 1. lim ux-121 X-3

A:

Q: 2. Evaluate lim (5x - 2 x+3.

A: To evaluate the limit: limx→∞5x-2x+3 Solution: We know that, limx→afx-gx=limx→afx-limx→agx Using the…

Q: Find the limit.

A: Given,

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Q: Exercises: Evaluate x2 – 1 - 1. lim 1- 2x 1 3 2x 2. lim x→2+ x – 2 х? — 4 - -

A:

Q: Find lim I -4 2+1 1 lim z - -4 +1 Show your work and explain, in your own words, how you arrived at…

A:

Q: Use e-5 definition and prove that lim (2 5r) -6

A: Here we use basic definition of epsilon and delta .

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.