Evaluate, Lim x-->-2+  ((x+2) cot (x2+5x+6))

Q: 1 ? Why? 0* In(x) What is lim 10 8- 4 2 5 6 8 10 -4 -6 -8 -10 3.

A: The graph of 1lnx is, From the graph we can see that, As the value of x tends to 0 from the right…

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

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

Q: Suppose that ƒ is an even function of x. Does knowing that lim x-->2- ƒ(x) = 7 tell you anything…

A:

Q: Evaluate lim -2x csc (-5x). Submit an exact answer.

A: We can find the limit as below

Q: Show that lim(5x+2)=-18 x-> -4

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Q: |4-x²| (2) limx--2- (x + 2) 2-x

A: Given function is: f(x)=(x+2)4-x22-x…

Q: x² – 9 - lim x--3 x² + 2x – 3

A: The given function is limx→-3x2-9x2+2x-3

Q: Find the limit. Use a graphing utility to verify your result.

A: We first rationalize the numerator

Q: х3+x2- х-1 The value of lim -is the same as x3 - 3x- 2 X+ -1

A: Let's find.

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

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Q: tan (2x) 3. 24. lim- %3D .3

A: We replace tan(2x) by sin(2x)cos(2x)…

Q: 1 lim x→11-x .3 —х 1-х*

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Q: 4) lim -。 ,(-1<x<り nや0

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Q: Find the limit. (Hint: Treat the expression as a fraction whose denominator is 1, and rationalize…

A: given

Q: 1. lim→- Зx? (2х - 1) 1 + 4x + 3 9. limx--3 x2- 3 2.

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Q: Once you know lim x--&gt;a+ f(x)  and lim x--&gt;a-  ƒ(x) at an interior point of the domain of ƒ,…

A: If we know the right and left-hand limit of a point then we know the limit at that point.

Q: 3. Evaluate: lim -) X-0 sinx

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Q: what is the :lim x→-2 (x^2 +3x+1)/x+2 is ?

A: Consider the following limit: limx→-2x2+3x+1x+2 Left hand limit: The function grows without bound:…

Q: 2) Lim Lim / 9x +! オー→。 20- Xー1 Lim Vitx-l 父 ->6

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Q: ■ Find the limit.

A: Given- limx→12-xx-12 To find- The value of the above limit.

Q: 8-x3 lim x2 -2x +2

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Q: lim メ→02-V4+x Calculate

A: We have to find the limit of the given function.

Q: 4-x lim,4+ 4-x

A: 1. For x&gt;4 the value of 4-x is negative and the expression |4-x| is positive. Apply limit on the…

Q: 4-X 1) Lim メ→4 5-x²49 2.

A: To evaluate the below limit. limx→ 44−x5−x2+9

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Q: 2/3 x2/3 – 1 13x + 41-1지-4 Evaluate lim 38. Evaluate lim -11 - V

A: Hello, thanks for the question. Since we’ll answer the first question as the exact one wasn’t…

Q: How to find  lim 4-x/x+3 while its approaching 3 from the left side.

A: we have to find limit value as x approaches to 3 from left side.

Q: Evaluate, Lim x-->-2+  ((x+2) cot (x2+5x+6))

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Q: By squeeze theorem, how to evaluate lim x->0 x^2 sin (6pi/ cube root x)

A:

Q: х3 — а3 lim х--а х4 — а4 x-a

A: Given  limx→ax3-a3x4-a4   We have to evaluate the limit.

Q: 47. lim -4 3x-5x +7 8+2x-5x 2-2 48, lim 49. lim

A: we have to solve given problem;

Q: 2 - Vx2 – 5 2- Evaluate lim x-3 x + 3

A: We find limit

Q: find lim x->0 cos(12x) -1/3x. not using the l'hospital rule. must show all steps

A:

Q: Suppose that ƒ is an even function of x. Does knowing that limx →2- ƒ(x) = 7 tell you anything about…

A: Even functions are symmetric about the y-axis for example: if we know f(1.99) then f(-1.99)=f(1.99)…

Q: Find the limit. (Hint: Treat the expression as a fraction whose denominator is 1, and rationalize…

A: To find the limit: limx→-∞x+x2+6 Solution: Rationalising the numerator,…

Q: Find the limit

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Q: To determine To find: The value of lim ( - →5 12-41-5 6(1-5)

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Q: 3 Find limx-2 Using a table. х-2

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Q: 5. Prove lim 5x + 2 = 17. Your work should include pre-work, and formal proof.

A: To solve the following question on limits

Q: 5- x 37. lim In

A:

Q: lim x in (It -)

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Q: Find the limit. (Hint: Treat the expression as a fraction whose denominator is 1, and rationalize…

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Q: Construct a table to determine the lim ex-1/x.…

A: We will create a table to find the value of function close and close in the left and in the right of…

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A: Limits

Q: Evaluate lim x->2 (x^2 - 4x + 4) / tan^2 (x^2 - 4) without using L'Hopital's Rule.

A:

Q: How do you evaluate lim x->inf of (3x)tan(3/x)? Please show steps. Thanks

A: Expand tan x then solve