Consider the limits. lim f(x) = 4 x-7 lim g(x) = -14 x-7 Evaluate the limit using the limit law for a quotient.

Q: Find the limit lim x-2

A: Explanation and solutions is given below....

Q: Find the limit (if it exists). If it does not exist, explain why.

A: Given: gx=1-x,       x≤1 gx=x+1,          x>1 The limit limx→1+gx is the right hand limit at…

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

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Q: Use tables to determine if x²+x-12 exists. If it exists state the value of the limit. lim x→+3 x-3

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Q: Vx+14-4 Find the value of the limit, lim- x-2 x-2

A: SOLUTION-

Q: Evaluate the limit. lim  xe3/x − x x → ∞

A: We have to find limit of f(x).f(x) is given below:

Q: Use the properties of limits to find the indicated limit. lim x->∞ (x2-7x+7)/(x3+6x2+16)

A: To find the limit.

Q: Find the indicated limit if it exists. √x+4-2 a) lim X-0 X 8x³+27 b) lim x-1.5 2x + 3

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Q: Find the limit (if it exists). If it does not exist, explain why.

A: Given data:   *The function f(x) is f(x)=x+2/2, when x<3. *The function f(x) is f(x)=12-2x/3,…

Q: Find the number a such that the limit exists. lim3x ax a 9 x 2 x2x 2 X a = Find the value of the…

A: Observe that the value of x2+x-2 tends to zero as  x tends to ‒2 and so the limit of the given…

Q: 5) Find the indicated limit if it exists. √√x+4-2 a) lim x-0 X 8x³+27 b) lim x-1.5 2x + 3

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Q: Decide whether the limit exists. If it exists, find its value. 4) Find lim f(x). X-1

A: Given data: The graph of the given function. The limit of the given function at x=1 is 1, whether…

Q: Evaluate the limit using the Basic Limit Laws

A: Here we have to evaluate the limit ;  A=limx→2x(x+1)(x+2)

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

A: To evaluate the given limit substitute x=3 and y=2 in the given function.

Q: Find the limit. lim 1- x-0

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Q: Decide whether the limits exist. If a limit exists, find its value.

A: Given:            limx→16x-4x-16 Simplify: x-4x-16 x-16 : x 2-42 Apply; a2-b2=a+ba-b…

Q: What does the limit notation lim f(x) = L mean? Xa"

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Q: Please evaluate the limit in terms of the constants involved.

A: Given information:The given limit function is

Q: 3 x - 2 | Guess the value of the limit: lim X 3.5 7x – 1 -

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Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

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Q: lim- x-2 x-2 4.

A: Note the result : is know as left hand limit and is known as right hand limit .    exist  if and…

Q: Find the limit (if it exists). If it does not exist, explain why.

A: limx→4-x-2x-4

Q: Find the limit (if it exists). If it does not exist, explain why.

A: Given:  fx=x,x≤11-x,x>1 we have to find limx→1+fx we know that when x>1, fx=1-x

Q: Find the limit (if it exists). If it does not exist, explain why.

A:

Q: Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

A: Given: limx→2fxfx=4-x  , x≠20,      x=2

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

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Q: Determine whether the limit exists. If it exists, find its value. lim x → 1+ f(x) 5 4 3 2 -1 Does…

A: Given, graph we need to calculate the value of limx→1+f(x) Here we need to calculate the value for…

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

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Q: Find the limit L. Then use the - definition to prove that the limit Is L. lim (x² + 3) x-1 ||

A: We will find the limit.

Q: Compute the limit if it exists, otherwise show your reason why the limit does not exist. |22 – r|…

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Q: Use lim f(x) = -2 and lim g(x) = 5 to find the limit. %3D lim [3f(x) – 4g(x)]

A: The given limits are limx→cf(x)=-2 and limx→cg(x)=5

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

A: Here we have to find the limit of the functionf(x,y)= x4-y4x2+y2

Q: When finding the limit  lim x2 +5x+1/3-2x x-> infinity How do I find the limit?

A: Evaluate

Q: II. Use a table of values to estimate the value of the limit of - 4 – 2 lim f(x) S(x) RSIT

A: limx→0x+4-2x Here, fx=x+4-2x When x=-0.1, f-0.1=-0.1+4-2-0.1=0.251582 When x=-0.01,…

Q: 2. Find the limit of the function (if exists). If the limit does not exist, explain why. For…

A: (b).   limx→0 x2+a2-ax2 ;      a>0

Q: Evaluate the limit, if it exists: x²-9 lim *-3 X+ 3 does not exist -6 1

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Q: OUse the e, & definition of the limit to prove that: lim -4x + 5 = -3 x- 2 der: lim f(x) = L means:…

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Q: 2. Find the limit of the function (if exists). If the limit does not exist, explain why. For…

A: using  a2-b2 = (a-b)(a+b)

Q: Find the limit. lim Vx X-1

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Q: Find the limit. /x² +3 - 2 lim X- 1 X1

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Q: Find the limit L. Then use the e-8 definition to prove that the limit is L. lim (x + 8)

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Q: Find the limit (if it exists). If it does not exist, explain why.

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Q: Find the limit if it exists. If the limit does not exist, explain why. (x+h)³-x³ C. lim. h-0 h |x+4|…

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Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim…

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Q: Evaluate the limit lim X+2

A: Evaluate the limit at x->1-

Q: V4+h-2 lim h→0

A:

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

A: Let L is the value of given Limit.

Q: Determine whether the limit exists. If so, find its value. If the limit does not exist, indicate…

A: To evaluate the given limit: lim(x,y)→(0,3)x4-y4x2+y2 Here, note that…

Q: Use a table of values to estimate the value of the limit of x + 4 - 2 lim f(x) f(x)

A: The given limit to be evaluated is limx→0x+4-2x Now to calculate the value of this limit by the…

Q: x² – 1 lim x→1 /x – 1

A: