Find the following limit: - lim I+1 +4 O 5 O 1/5 O Undefined -Infinity O Indeterminate Infinity

Q: Evaluate the limit.

A: It is given that, limh→π21-cos3hh   It is known, that if we have limx→af(x)g(x) and after plugging…

Q: Evaluate the following limit: lim+1 x+1 01 2 02 Oc undefined

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Q: Vh+9-3 lim h h→0

A: limh→0h+9-3hSince given limit is 00 indeterminate form.Therefore, use LH rule and solve.

Q: Evaluate the following limit. x² + x – 2 lim a-2 x2 + 5x + 6 O A. 3 Ов. O B. O C. 0 O D. -3 O E. 2

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Q: Calculate the following limits using the factorization formula x" - a" = 1x - a21x"-1 + ax"-2 +…

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Q: tan x lim 4-V lim x-16 16x-x² x² -9 lim x-3 x²+2x-3

A: Find the value of limit limx→πtanxx. limx→πtanxx=tanππ             =0π            =0 Thus, the value…

Q: Find the limit (if it exists) of A"x, as n approaches infinity, where and x, = a

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Q: Find the limit if it exists. 3x + 4, x 2 x² +2, lim,-2 f(x) O 10 O 4 O 2 O DNE O None of the…

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Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -o. (If…

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Q: r-1| limr→1 2r-2

A: We have to find

Q: Find the following one sided limit -5 lim I1t -1 O- Infinity O Infinity O-5 O 5

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Q: Evaluate the following limit: lim x→2+ x – 2 O No answer text provided. |- 1/2

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Q: Consider the following one-sided limit. x² + 676 lim +26* x – 26 Step 1 of 2: Approximate the limit…

A: First we evaluate the function values at 27,26.1,26.01 and 26.001 then by using these values we can…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 3 3 lim (2 ||

A: Given function is: limx→0+3x-3x For right hand limit x will convert into x.

Q: 1 lim 1 5x e5x 1 - ||

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Q: Find the following limit: x2 – 1 lim I+1 +4

A: We use the concept of right hand limit in this question.

Q: Use the properties of limits to calculate the following limit. x? + y³ lim 3 3 (х.у)-(1,2) х* - у x²…

A: We have to find

Q: Determine the following limits, using o or - when appropriate, or state that they do not exist. x -…

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Q: what is the limit of* Vx+1-2 lim x-3 1/4 O DNE O 2/3 00 O O O

A: Given: limx→3x+1−2x−3

Q: Find the limit. За + 5 lim x→0 x – 4 O -5/4 O DNE O 3

A: Limit problem

Q: Use the precise definition of a limit to prove the following limits. Specify a relationship between…

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Q: Determine the limit algebraically, if it exists x3 + 12x2 – 5x lim 5x O -1 O 5 DNE

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Q: Find the following limit. Notes: Enter "DNE" if limit Does Not Exist. -4 + 5e" lim 20 1+ 6e*

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Q: Evaluate the following limit x3 + 2y³ lim (x,y)→(0,0) x² + 3y²

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Q: lim (1+ Vw)(2 - w? + 3w) w→1

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 2 2 lim

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

Q: (b). Compute each of the following limits. (i). lim,4 ". (ii). lim,0 tanz

A: For (i),     limx→ 4x2-x-12x2-4x=limx→ 4(x+3)(x-4)x(x-4)=limx→ 4x+3xPlug in the value x=4.=4+34=74

Q: (c) lim r csc(x)

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Q: lim x2 - 6х +9 2x -x-21 lim x-3 9-х2 1-sin x lim x- cosx

A: Given: The given expressions are, limx→5x2-6x+9 limx→-32x2-x-219-x2 limx→π21-sinxcosx The…

Q: Evaluate the limit, if it exists. (If an answer does not exist, erter DNE.) V 25 + h - 5 lim h - 0

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Q: Find the following limit: 6) lim (x – Ln(x² + 1))

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Q: Find a value of the constant k such that the limit exists.

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Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -o. (If…

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Q: 4 - I lim |4 – r| I »4+

A: To evaluate the given limit

Q: Determine the value of the following limits, if they exist. If infinite, specify either o or -o. (If…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 1 lim 7 x--7 7+ x 1

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 9 lim 1 +t

A: We have to find limit

Q: Use the Squeeze Theorem to find the following limit when b - |x - al s f(x) sb + x - al. lim f (2)

A: 1.b-x-a≤f(x)≤b+x-alimx→af(x) Note:     Multiple questions are given, we are answer with only one…

Q: Find the limit, if it exists. lim x+ 00 ex O A. ex O B. - 0 O c. 0 O D. o

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Q: Find the one-sided limit L (if it exists). (If an answer does not exist, enter DNE.) Ilm ++ (x-2) x-…

A: As, Given, limx→0+x-1x3 The function decreases without a bound. So, limx→0+x-1x3 = - ∞

Q: Use the precise definition of a limit to prove the following limits. Specify a relationship between…

A: To Prove - limx→3 x2-7x+12x-3 = -1Cosidering LHS - limx→3 x2-7x+12x-3 = limx→3 x2-3xx-4x+12x-3limx→3…

Q: Find the following limit: lim f(x) O A. 0 О В. О Ос. 3 O D. 4

A: We have to check

Q: Use the precise definition of a limit to prove the following limits. Specify a relationship between…

A: Given limx→3-2x+8

Q: Vx+3- V3 lim c)

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Q: x*-7x²+x b) lim x→00 x3-x+10

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Q: Find the following limit. lim h 0 V2h + 1 +1 h→0 2.

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 4. lim (x2 X--3…

A: Given problem:-

Q: Find a value of the constant k such that the indicated limit exists. 5* – 1 lim x→o eka + 8' k =

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