nsider the function f(x), whose graph is shown below. Determine the limit of a function, by observing the behavior of the graph. 1. lim f(x) as x approaches to -5 2. lim f(x) as x approaches to -3 3. lim f(x) as x approaches to -2 4. lim f(x) as x approaches to -1 5. lim f(x) as x approaches to 3

Q: Find the limit for when x -> 4 lim F(x), for f(x)= x2+2 ; x≠4 ; 27; x=4

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Q: 8. Find the indicated limit 2X √x + 1] X lim(- X→∞0

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Q: Use the graph of the function to evaluate the limit. lim g(x) y = g(x) 2 2 3

A: A graph of y=gx is given as shown below. We have to find limx→1gx

Q: 8. For the function f whose graph is given, find the limit. lim f(x) x+-1-

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Q: Vx+15 -2 is The value of the limit lim X+-11 x+11

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Q: Find the limit L.

A: We have to find the limit L: limx→4x+2 This is determinate form of the limit so we need to put limit…

Q: Determine the limit by sketching an appropriate graph. 0 sx < 2 2 sx < 4 lim f(x), where f(x) = x-2-…

A: Given that f(x)=4-x2     0≤x&lt;22               2≤x&lt;44               x=4We have to find limx→2-…

Q: Use a graph to investigate lim f(x) at the number c. (If an answer does not exist, enter DNE.) S3x…

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Q: 14 Find the slope of the function ƒ(x) = -x - 1, by the definition of a limit. Slope =

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Q: 4.) x²-9 lim X-3 x-3

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Q: Evalate the limit 6. lim (e + x)²/x

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Q: 10. Find the value of the limit or state that it does not exist b) lim f (x) =

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Q: 6. Use the graph of the function f(x) = He to discuss the limit lim 40 f (x). 1+e!/x

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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: v) How would the value of the previous limit change if instead of the function y = words, what is 4…

A: To find the left-hand limit of the function,  limx→2-1x-2+1 Apply the limit rule,…

Q: plot the function and use the graph to estimate the value of the limit.

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Q: x2 -3x + 2 lim x-2 x - 2 1.75 1.9 1.99 1.999 2.001 2.01 2.1 2.25 f(x) B. Then use a graphing utility…

A: Let us evaluate the limit,…

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: Q: Find the limit for the following functions: - 1- lim -2 X-4 x-4 (2x-3)(-1) 2x²+x-3 2- lim X-1

A: Please see the explanation below

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

A: Find the limit  limx→∞3x+5x-4

Q: Q;: Find the limit for the following functions: - 1- lim -2 X-4 x-4 x²-2 2- lim-3 X-1 Vx-3

A: The limit if the given functions are required to find out. limx→4x-2x-4 limx→1x2-2x - 3

Q: Find the limit. lim x→0 x – 1

A: Given that: limx→∞5x-1

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

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Q: find the limit of g(x) as x approaches the indicated value. lim (4g(x))'/³ = 2 X0+

A: Consider the given limit as limx→0+4gx13=2

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

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: lim x².e 2.

A: The given limit is in the indeterminate form, just using L,Hospital's rule and easily find the…

Q: Calculate the limit algebraically. If the limit does not exist, say why. x? + 8 lim x-2 x + 3x + 2…

A: we have to find the limit of the given expression

Q: Evaluate the function f(x) = x / (√x + 1 − 1) at several x-values near 0 and use the results to…

A: To evaluate: limx→0xx+1-1 using value of function at several values of x near to 0. Solution: We…

Q: What is the value of the limit below? lim v1 – x

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Q: Find the indicated limit if exists. lim x2 - 9 x→3 x - 3 O 3 O The limit fails to exist. 6

A: Ist solve then apply limit

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

Q: Find the limit, if it exists. x + 3 lim (x + 5)1/3

A: Solution: The objective is to find the value of given limit

Q: 6) Use the graph of f to find the indicated limit and function value: y 3- 1-3-2-1 -2-

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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 2x 3. lim…

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Q: lim [e* + x]1/x X→∞

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

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Q: x" -1 :? x+1Vx -1 For a positive number nEN, what is the value of the limit lim-

A: On substituting x=1 in limx→1 xn-1x-1 tends to 00 (Indeterminate) form So upon applying L-Hospital…

Q: For the function -1 f(x) = if x 3 ' evaluate the limit lim f(x). (If a limit does not exist, enter…

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Q: Vx+15 - 2 is The value of the limit lim x--11 x+11

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

A: 1. limx→-1 x+1x2-x-2   is of 00form, So apply L'Hospital rule limx→-1 x+1x2-x-2   =  limx→-1…

Q: lim -2)2 x-2 x2-4 3.)

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Q: find the limit if it exists lim f(7+h)-f(7)/h for f(x)=-x+1 h -&gt; 0

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Q: When a function's y-value approaches either +00 or -00 as x approaches c, the Limit Does Not Exist…

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Q: Does the existence and value of the limit of a function ƒ(x) as x approaches c ever depend on what…

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Q: lim(-3x² – 1) x-3

A: Solution:

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→−7  x2…

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Q: Find the limit. lim x → 2− e3/(2 − x)

A: To find the limit of the function

Q: Evaluate the limit lim X+2

A: Evaluate the limit at x-&gt;1-

Q: 10. Find the value of the limit or state that it does not exist c) lim f(x) = X2"

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers (correct…

A: The given limit is limx→-3x2-3xx2-9

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.