Use algebra to evaluate the limits lim f(x), lim f (x), lim f(x) x→a+ x→a- if they exist. Sketch a graph to confirm your answers. x2 – 2, 0< x < 3 a = 3, f(x) = 2, x = 3 2я + 1, 3 <х 3 < x

Q: 2. (a) Determine the following limits if they exist. If they do not exist, clearly state so. i. lim…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3] [4M] Determine whether the limit exists. If so, find its value: Зху a) lim (x.y)-(0,0) 4x2 + 3y2

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Q: 8) Evaluate the limits: a. lim x sin X00 ex-x-1 b. lim x3

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: aluate the limit L, given lim f(x) = -6 and lim g(x) 2 f(x) lim х-с д(x)

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Q: a) Find the following limits. (If an answer does not exist, enter DNE.) (i)

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Q: Decide whether the limit exists. If it exists, find its value. O A. 1 Find lim f(x). О в. О OC. 21…

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Q: Evaluate the limit lim y approaches 5  1/y-1/5 divide by y-5

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Q: Given that lim f(x) = 9 lim g(x) = -4 lim h(x) = 0, find the limits, if they exist. (If an answer…

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Q: Let (-9x2 + 4x for x 0. According to the alternate form of the definition of the derivative, to…

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Q: Find the limit, if it exists. (x² – 16 if x>0 Let f(x) =x2 -16 if x<0 x- 4 Find lim f(x). x-0- 00 -4…

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: find the limit or explain why it does not exist

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Q: Given that find the limits that exist. If the limit does not exist, explain why. a. lim [f (x) + 5g…

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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&lt;3. *The function f(x) is f(x)=12-2x/3,…

Q: Find the value of lim f(x) 1 f(x)3= 1+5/x -0.6 -0.5 0.16 01 E -0.6

A: To find out the correct answer.

Q: Use algebra to evaluate the limits lim f(x), lim f(x), lim f(x) x→a+ x→a- if they exist. Sketch a…

A: fx=x2-20&lt;x&lt;32x=32x+13&lt;x, a=3

Q: A = lim R, = lim [f(x1)Ax + f(x2)Ax+.+ n-00 x< 10. Using the above definition, determine whic

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Q: Question: What is the notation for “the limit as x approaches a of the function f (x) is L"?…

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Q: Evaluate the limit L, given lim f(x) = -8 and lim g(x) = -. %3D lim [f(x) + 2g(x)] L =

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Q: Use algebra to evaluate the limits lim f(x), lim f(x), lim f(x) xa+ if they exist. Sketch a graph to…

A: Given that f(X)=x2-2, 0&lt;x&lt;32       , x=32x+1, 3&lt;x

Q: Given that lim f(x) = 4 lim g(x) = -2 lim h(x) = 0, X-2 x-2 find the limits, if they exist. (If an…

A: As per our guidelines we are supposed to answer 3 subparts of a question. Kindly repost the…

Q: Help me filling the blank spots. Thank you very much

A: We have to solve the problem

Q: Suppose that g(x) s f(x) < h(x) for all x + 2 and suppose that lim g(x) = lim h(x) = -5. X-2 X-2 Can…

A: It is given that gx≤fx≤hx and limx→2gx=limx→2hx=-5.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim x→3 f(x), where f(x) =…

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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…

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Q: Find the limit, if it exists, or show that it does not exist: x² – y? lim (x,y)→(1,1) x³ – y3 '

A: Explanation of the answer is as follows

Q: Find. 1) a. lim f(x) and b. lim f(x). x-0- Find the limit, if it exists. x2 + 4 2) lim X-2 x+2 3)…

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Q: Assuming that lim f(x) = 6 and lim g(x) = 4, calculate each limit. %3D 1+3 (a) lim(f(r) – 29(r)) (b)…

A: Given limits - limx→3 f(x) = 6limx→3 g(x) = 4(a)limx→3 f(x)-2g(x) = limx→3 f(x) - 2limx→3 g(x) =…

Q: In evaluating lim f(x+h)-f(x) in f(x)= x? -1, which is the first step? h-0

A: Given:        fx=x2-1     fx+h=x+h2-1             =limh→0fx+h-fxh              =limh→0x+h2-1-x2-1h

Q: Calculate the limit algebraically. (If you need to use  or –, enter INFINITY or –INFINITY,…

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Q: Evaluate this limit for the given value of x and function f(x). limh->0 [f(x+h)-f(x)]/h f(x)=…

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

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Q: Evaluate the limit |x – 1| lim x→1¯ (x+ 1)(x – 1) 00 The limit does not exist and is not equal to…

A: In the question we have to calculate the limit of following expression given.

Q: For each limit below, evaluate the limit or show that it does not exist.  lim(x,y)-->(0,0)…

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Q: Find the limit analytically. You must show your work. If the limit does not exist, be sure to state…

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Q: X- Find the limit. lim x-→I X-1 tto

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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: Evaluate the limit L, given lim f(x) = -12 and lim g(x) = 3 %3D %3D lim [f(x) + 3g(x)] L = 1.

A: Solving by limit property

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 2(x + Δx) + 4 − (x2…

A: Find the solution below

Q: Inx 2. lim x-1x-1 1 0.9 0.99 0.999 1.001 1.01 1.1 f(x)

A: Find your answer below

Q: Assuming that limits as x o have the same properties as limits as x → c, use algebraic manipulations…

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Q: Calculate the limits given below, if not, explain why. y? a), lim (x,y)-(00) x²+y² b) lim (x)-(1,1)…

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Q: Evaluate the limit L, given lim x→c f(x) = −6 and lim x→c g(x) =  1 2  lim x→c [f(x)]2

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Q: Given that lim,+ f(x) = 3,lim,++0 9(x) = -5,lim→+0 h(x) = 0. Find the following limit,if it does…

A: • If the limit is finite and unique, we say that the limit exists.

Q: What exactly does lim

A: Definition of the limit: Consider f(x) be any function that is defined on the the open interval…

Q: Once you know lim f(x) and lim f(x) at an interior point of the domain of f, do you then know lim…

A: If  limx→c-f(x) = limx→c+f(x)  = L  then    limx→cfx = L

Q: y (0, –7) y = h(x) (-2, –9)| (a) lim, h(x) X-2 (b) lim h(x)

A: (a). The value of limit when x tends to -2 but from left hand side or right hand side will be -9…