(x²+1, x>2 f (x) = 2x – 2, x<2 1. lim f(x) 2. lim f(x) 3. lim f (x) X-2- X-2+ X-2

Q: Evaluate the limit of the function: lim f(x) =- /7 +x -V7

A: topic - limits

Q: Find the indicated limit given that lim f(x) = 5 and lim g(x) = 4. xa lim [2f(x) – 4g(x)]

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Q: 2. Draw a function with the following criteria: lim f(x)=2, f(-5)=-4 X-5 lim f(x)=0, lim…

A: Answer

Q: Find the limits: Vx – 1 lim x→1 x - 1 а.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Determine if the following piecewise-defined function is differentiable at the origin. 9x - 4x - 7,…

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Q: Estimate the limit numerically. x² lim +14x+49 -7 x+7 O-7 Oto∞ O-1 00

A: Given limit is We will use the factorization method to evaluate the limit By using the result that…

Q: sketch the graph of a function with the given limits.

A: the given limits are:

Q: Sketch the graph of a function with the given limits.

A: Given the function with the limits.

Q: Sketch the graph of the given piecewise function and determine the following limits x2+1, x>2 f (x)…

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Q: 5. lim x-0 e2x-1

A: LetL=limx→ 0xe2x-1Plug in the value x=0L=0e2(0)-1L=01-1L=00Therefore Apply L Hospital ruleL=limx→…

Q: Consider the function x + 1| – |x – 1| f(x) Estimate |x + 1| - |x – 1| lim x 0

A: The given function f(x) is:

Q: Find lim f(x) for the given piecewise function. x-4 2x +2 if x 4 If the limit does not exist, enter…

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Q: Create a table of values for the function and use the result to explain why the limit does not…

A: Given: Function  Consider few values less than 0 and few values greater than 0 Then evaluate…

Q: Find lim f(x) for the given piecewise function. X6 2x + 1 if x 6 If the limit does not exist, enter…

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Q: Find the limit of the function lim x → − 6 ( 2 x + 12 | x + 6 | )

A: Find the limit

Q: Find the indicated limit if it exists. 3-Vx+7 a) lim 2-x X-2

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Q: Let f(x) = (1 + x)1/x. (a) Estimate the value of the limit lim (1 + x)1/x to five decimal places.…

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Q: Find the limit. 3x + 5 lim x→0 x - 4

A: Find the limit  limx→∞3x+5x-4

Q: Verify the limits in a given equation below. (2х-4)2 lim X→3 x+1

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Q: Create a table of values for the function and use the result to explain why the limit does not…

A: To create a table of values of x for the function limx→02x3, take the values of x nearer to 0, that…

Q: Estimate the value of the limit lim, 4 x² + 1 by filling out this table and then making an educated…

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Q: Find the indicated limits of the following function: 11x3 – 4x2 – 8x - - f(x) = 10 – 10x – 8x3 - lim…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: Find the limit of the function lim x → − 2 ( 2 − | x | 2 + x )

A: Topic:- calculus

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: Find the following limits if they exist. Must show all work (analytically?): 1. lim f(x) where f(x)…

A: We will find out the limit of given function.

Q: Find the following limits if they exist. Must show all work (analytically?): 1. X-2 lim (x) where…

A: Given that: 1. limx→-2f(x), where f(x)=-3x2+8, if x&lt;22x,          if x&gt;-2   NOTE: As per our…

Q: Find the limit of lim((9+3x)1/2-3)/x as x approaches 0

A: To determine the value of the limit.

Q: Find lim f(x) for the given piecewise function. x-6 2x + 1 if x 6 If the limit does not exist,…

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Q: Evaluate the following limits if they exist x +5x-3 a) lim x² + 2x – 6 x² – 3x – 1 b) lim x' +1 c)…

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

Q: Show that the function given below is continuous. 4v2 - 16v lim -2 v-4

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Q: Find the limit. (a) lim x→3 Vx +6 – x x3 – 3x2

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Q: lim (-2 xS t x-1)

A: From this limit, we know that when x approaches -infinity then y approaches +infinity. so, on the…

Q: 1 if x-1 4. lim x→- 1 5. x f(x) f(x)

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Q: find the lim as x approaches infinity when f(x)= (1-x)/2x

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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 indicated limit given that lim f(x) = 5 and lim g(x) = 2. lim V3f(x) + 6g(x)

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Q: Find the indicated limit, if it exists. x+4 x<-5 lim f(x), f(x) = X-5 4 - x x2-5

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Q: 7. lim vx2 + x + 1 – Vx2 + 1

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Q: Determine the following limits at infinity. lim x-11 xS-0

A: limx→-∞x-11

Q: Sketch the graph of the given piecewise function and determine the following limits x²+ 1, x>2 f (x)…

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Q: Find the following limits for the piecewise function: f(x) = { x + 1, +5, a) lim f(x) - x-3 b) lim…

A: (a) Given that, the function is fx=x+1                x≤2x+5          2&lt; x≤4. Obtain the value of…

Q: Find the specified limit. f(x) - x+2, x > -1 lim f(x) ?

A: The given function is            f(x) = x2,  x&lt;-1x+2, x&gt;-1 We have to find the following…

Q: Find the following limits. x²+3x-4 x -16 1. lim 2. lim X-1 X-1 x+2

A: Apply the limit to the given expression and if it results in 0/0 form then take the derivative of…

Q: * :Test the following function using limits x² - 25 lim x→→5 x² + 2x - 15 B) 5/3 A) 5/4 O C) 5/2 O

A: Apply the following steps to find the value of the given limit. Factorize the expressions in the…

Q: 1. lim x2 – 2x + 4 x→1 f(x) f(x)

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Q: Q4)A) Find the following limits (for two only). x+1 1. lim X-1x2-x-2 1-Vx 2. lim X-1 1-x 3. lim x0…

A: Find the limit for the given function . We use for calculate value of limit L' hospital rule (When…

Q: Find the limit using your understanding of the end behavior of the function. lim e* 7x

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Q: f(0) = 1, f"(x) < 0 for x # 0, lim f'(x) = +0, lim f'(x) = -00

A: