For the function graphed to the right, explain why lim f(x)#7. X→2 Choose the correct reason below. O A. The limit of f(x) as x approaches 2 is 4. O B. The limit of f(x) as x approaches 2 is 5. 11 OC. The limit of f(x) as x approaches 2 is 2 O D. The limit of f(x) as x approaches 2 does not exist.

Q: Let (7z 2x2 for I<0, 8z2 + 7x for r20. f(1) = According to the definition of the derivative, to…

A: Given : Derivative any function is as follows let   f(x)= xm

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A: Given limx→c f(x) does not exist because the left-hand and right - hand limit have different values.

Q: Find the limit of f(x) = , - 11 as x approaches oo and as x approaches - o. lim f(x) =| (Type a…

A: Given the function f(x)

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A: To find:

Q: Find the limit lim Vz +1 Enter I for o0, -I for-oo, and DNE if the limit does not exist. Answer

A:

Q: Calculate the following limits, if they exist. 2ry lim (z.9)→(0,0) 1² +y²*

A: The limit value of lim(x,y)→(0,0)2xyx2+y2. To find the value of fx,y=2xyx2+y2 when x,y approaches…

Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) f(x) =…

A: As given Function  fx=-x+6if x≤05x+5if x&gt;0 Thus limx→0-fx=limx→0--x+6             =6

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A:

Q: If a function f has no limit as x approaches c, then we say that lim f(x)

A:

Q: find the limit of g(x) as x approaches the indicatedvalue.

A: Given,          limx→25x4+2gx=∞

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A:

Q: What is lim f(z) z→1 9(2) given f(x) = e2" and g(x) 3x2 – 3x + 6 ?

A:

Q: se the graph of the given function f to determine the limit at the indicated value of a, if it…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose that on the interval (2,5) f(x) less than or equal to g (x) less or equal to h (x) and Lim…

A: We have the following information.

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: The derivative of the function using the limits is obtained by the formula f'(x)=limh→0f(x+h)-f(x)h,…

Q: Compute the following limits and write your answer to the boxes. lim 4x cot 3x = 5x2 - 10x - 40 lim…

A: From the given problem: a) limx→ 04xcot3x So, we can also write as: limx→ 04xcot3x=4·limx→…

Q: x³ - 8x* +1x lim xa -5-14

A: Dear student our policy is to answer first one only in case of multiple question kindly repost the…

Q: ex ) 4. Use the definition of the limit to prove that lim 4x + 2 = 14. %3D x-3

A:

Q: Determine if the following limit exists. lim (1,v)→(0,0) x6 + y? This limit exists because as you…

A:

Q: Use the precise definition (i.e. the ɛ, d definition) to prove that lim, →1 x2 – 3x + 5 = 3

A:

Q: For the functionf(x) = |x – 2|, evaluate the left and right limits of f(x) as x approaches 2.…

A: We are asked to evaluate the limit.

Q: Evaluate in terms of the constant a. lim (2a + x) x→ 0

A: To Determine:  Evaluate in terms of the constant a.…

Q: If you know in advance that lim f (x) exists, can you determine its X+5 value from a plot of ƒ for…

A: Given that limit of f(x) exists at x=5.That means the function f(x) is continuous and differentiable…

Q: If 2x 0, use the Squeeze Theorem to find lim g(x).

A: Given that : as per squeeze theorem

Q: For f(x) = the square root of 7x+30, how can I find f’(x) using the definition f’(x) = lim as h—>0…

A: Given,          The function is fx=7x+30.We know that,          The derivative of the function is fx…

Q: If Lim [x3 – g(x)] = 12 as x tends to 3, use the Rules of Limits to find Lim g(x) as x tends to 3.…

A: Given: limx→3x3-gx=12

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A:

Q: Use your answer to the previous question to calculate the limit and write your answer upload. In(x)…

A: The given limit is limx→1ln (x)-x+1(x-1)2 We have to find the first four terms of the Taylor series…

Q: Evaluate f(4+ h) – f(4) lim h0 where f(x) =5x +7. If the limit does not exist enter DNE. Limit =

A: f(x)=5x+7

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A:

Q: bx a (c) lim| 1+

A:

Q: 3. Is lim f(x) always equal to f(c)?

A: Is limx→cfx always equal to fc The given statement is not necessarily true.

Q: 2) Suppose that the limit of a function f(x) exists at z = a. If lim f(x) = M and lim f(x) = N, what…

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Q: Let -8x2 + 5x 3x2 for x 0. f(æ) : According to the definition of the derivative, to compute f'(0),…

A:

Q: x 00-X 9 0 = lim Evaluate the limit as x approaches infinity of

A: Any finite number upon infinity is 0. any finite number∞=0

Q: 2xy lim (x,y)→(0,0) x² + y²’

A:

Q: Find the limits of the functions below a) limx-3 x* sin x b) lim,

A: We can find the limit of both the question as below.

Q: Find the limits of the functions below a) limr-3 x* sin x b) lim,

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Q: f(2) is continuos if lim f(z) =f(z,)

A:

Q: + 34, find f '(x) using the definition f '(x) = lim h→0

A:

Q: 196-z Given that f(x) VI-14' find lim f(x). (If the limit does not exist, enter DNE.) 2+196 Provide…

A: We have to find the limit.

Q: State a similar definition for the left-hand limit…

A: limx→c-fx=L

Q: Does L'Hôpital's Rule apply to lim f(x)g(x) if f(x) and g(x) both approach oo as x → a?

A: L' Hopital's Rule is used in the following cases,

Q: T is discontinuous at -1 because lim f(x) as x--> -1 does not exist. * %23 .7. 5. %23

A:

Q: The limit of the ratio test simplifies to lim f(n) where n→ ∞ f(n) =

A:

Q: . For a function f, suppose lim f(x) does not exist because values of f(x) oscillate between two…

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Q: Vh+ 196 – 14 - Find the limit lim h→0 h

A: