For the specified discontinuity below, sketch the graph of the possible function f(x) that illustrates the discontinuity  lim f(x) = 1and f(0) = −3 x → 0

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

A: topic - limits

Q: find the limit of g(x) as x approaches the indicated value. 3x2 + 1 lim = X g(x)

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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: Find the limit algebraically. ( f(-3 + h) – f(-3) lim h0 where f(x) = -3x2 + 2x + 9

A: Our objective is to find the limit algebraically.

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

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Q: Given the function f ( x ) = 1 /(x + 3) . Find  lim Δx ⟶ 0 (f ( x + Δx ) − f ( x ))/ Δx

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Q: Consider the piece -wise function h): = (x)4 x²-2x +3 for x 2 Find lim hx) Find is h«) Contiouous?…

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Q: Find lim x→-∞ ex + 1° (а) — оо (b) ∞ (c) 0 1 (d) 2 Does not exist and has no infinite behavior

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Q: [0] lim 0→3+ 0

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Q: Use the graph to solve for z.* := lim f(r) 3 3 f(x) 2. 2.

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

A: the given limits are:

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

A: The functions whose graphs can be drawn without lifting the pencil off the paper is a continuous…

Q: If Зx <f(x) < х +2 for 0 <x< 2, find lim f(x). х—1

A: Result used:

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: For the function f(x) given below, where x > 0, evaluate lim f(x). X18 f(x) = ln(9x³ + 10) - In(2x²…

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

A: Let us consider limx→a-f(x)=A and limx→a+f(x)=B We have, A is not equal to B. When x gets close to…

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

A: Find the limit  limx→∞3x+5x-4

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: Find lim h(x), if it exists. f(x) = 7x2 + 2x + 3

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Q: Determine the limit by sketching an appropriate graph. for x <4 S-3x - 4 8) lim f(x), where f(x) = {…

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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: I. Determine the limit of the function, f(x) = 2x – 5, given the graph. 1. lim(2x – 5) = , X2 2.…

A: Given graph of the linear function f(x) = 2x - 5 is as follows:

Q: Find lim f(x) given the graph of f(x) shown above.

A: Given to evaluate limx→2f(x)=?

Q: Find the limit as x approaches - 2 for the function f(x) = 12x + 1. %3D lim (12x+1) = X→-2

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Q: 1. lim f(x) = -1 and f(1)DNE x-1

A: We will make the graph of the function using the given info about the limit at x equal to 1.

Q: Suppose that a function f(x) is defined for all real values of x except at r = c. Does it imply the…

A: Here we have to check whether the limit exists or not.

Q: 1. For the function ƒ whose graph is given, determine the following limits. 3 lim f(x) X2 -6 -5 -4…

A: A limit of a function at a point exists if at that point the left-handed and right-handed limit…

Q: Use the graph to evaluate the limit. 3) lim f(x) x-0 3) 3+ 2+ 4 X 4) lim f(x) x-0 4) 3+ 10 -4 -3 -2

A: Graph of the function is given, we have to find its limit at x=0

Q: Use the graph of the given function f to determine lim fx) at the indicated value of a, if it…

A: topic - limits

Q: For the function f whose graph is given, determine the limit. 11) Find lim f(x). x-0

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Q: The graph of a function f (x) is shown at right. If g(x) = v5 + 4x , find lim [f(x) + 3 g(x)]. А. 13…

A: Consider the given function: gx=5+4x Consider the given limit expression: limx→1+fx+3gx We can also…

Q: Use the graph of the given function f to determine lim f(x) at the indicated value of a, if it…

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

A: Solution is given below:

Q: 1 Use a plot of f (x) = 4 Vx - 2 to estimate lim f(x) 4 メ→4 | numerically.

A: Given: f(x)=1x−2−4x−4Estimate:limx→4f(x)=?Graphically  and  Numericallly

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

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Q: Find the limit. lim x-0 0 1 00 0 4

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Q: From the graph: (x) is discontinuous at x= 3 because of (a) Lim f(x) = f(3) (b) Lim f(x) doesn't…

A: According to graph at x = 3

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: Draw the graph of f(x) = E, and annotate the graph to indicate the meaning of I-2 lim - 2| T→2 x – 2…

A: We have to find limit

Q: lim(-3x² – 1) x-3

A: Solution:

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

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Q: Find the limit of the function algebraically. x2 + 2x lim

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Q: Find lim f(x) for the given piecewise function. 2x +3 f(x) = { 5 -*+18 if x > 6 if x < 6 %3D if x =…

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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: Determine a reasonable estimate for lim hx x-1 3 -5 -4 -3 -1 3 5 2. 1 4. 1. 1. 2. ee

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Q: Find the limit. lim X→x ←+ -54 -3 -2 -1 00 O-2 f(x) 00 SIEX) 4 m 2 14 -3 2 3

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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: Sketch the graph that satisfies the given conditions: fis odd, f' (x) 0 for x > 2; f"(x) > 0 for 0…

A: We have to draw a graph for given conditions.

Q: Find the limit x-1 lim x>I* Vx +2

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Q: b. For what value of (k) is the function y=f(x) continuous at x-3. x3-3x2-4x+12 x + 3 x-3 f(x) = %3D…

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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.