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 В. 8 С. 11 D. limit does not exist

Q: Find the slope of the tangent line to the parabola y=4x-x^2 at the point (1,3) 1) using the…

A: Given

Q: 4) Find the value of a for which the limit lim x→0 evaluate the limit. sin(ax)-sinx-x x3 is finite…

A: To Find: The value of a for which the limit limx→0sin(ax)-sin(x)-xx3 is finite and then evaluate the…

Q: 1) Show that the limit doesn't exists : ysinx 3) lim (x,y)→(0,0) x²+y2

A: To show that the limit of a multivariable function does not exist,…

Q: Find a value for the constant "a" that will make the function f(x) continuous. f(x) = { ax- if xs2…

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Q: -1- x +3, if x -2 Calculate the following limits. Enter DNE if the limit does not exist. lim f(x) =…

A: Given : fx =-1-x + 3   if x<-23                        if x=-22x+8                if x>-2

Q: Estimate the limit numerically to two decimal places or state that the limit does not exist.

A: Here it is required to estimate the limit numerically to two decimal places.

Q: 5. Consider the limit: lim x² = 16. What is the largest allowable & that will "work" for e = 0.25 in…

A: Given  f(x) = x² To find : Value of delta using definition of limit

Q: Let Sz+8 3x +8 I-1 Approximate lim f(z) numerically and verify your answer graphically. If it does…

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Q: 1. What is the difference between a function whose limit does not exist and one that increases…

A: Definition of Limit: Let E⊆ R and f:E→R.  Let a∈R be such that ((a-r,a+r)    {a})∩E is non empty for…

Q: 9. Given that limx→3 f(x) = 2 and limx→3 g(x) = −5 compute the following limits: (a) limx→3 2f(x)…

A: Given that limx→3f(x)=2 and limx→3g(x)=-5

Q: 10. Let a be a positive constant. Evaluate lim x(a/x – 1) if the limit exists. If the limit does not…

A: limx→af(x) does not exist. The idea is that there is no number that f(x) gets arbitrarily close to…

Q: Find the value of the limit: 3x -9x e -e lim In(1+x)

A: Using limit to find the value of given function

Q: 8. e 1 Build a table to estimate lim x+0 X

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Q: 3. Can f (x) approach a limit as x → c if f(c) is undefined? If so,

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Q: Compute the limit as x approaches infinity of x^e-x

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Q: 1 Q.3: Discuss the limit of f (x) : at x = 0", 0*,-∞,+∞, with graphs.

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Q: Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form…

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Q: 8 - x- x2 if x 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(æ)…

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Q: Calculate the limit limx→eln(lnx)x−e

A: the given expression is: limx→elnlnxx-e we know that  logaa=1

Q: 1-cos 2x lim X→0 x2

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: 1 if x – 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x -…

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Q: (-5-x)²+2 if x #-6 Let f(x) = 2x + 14 if x = -6 Calculate the following limits. Enter "DNE" if the…

A: Given  f(x) = -5-x2+2if  x≠-62x+14if  x=-6

Q: Suppose g(x)=4x^2-lnx is the derivative of f(x). Compute Lim x->0 (f(x+1)-f(1)/x) Please show steps…

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Q: -1– x + 5 if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

A: limx→-2-f(x)=6, limx→-2+f(x)=6,  and limx→-2f(x)=6

Q: 5) a) If a > 0, compute lim a¯*. b) Which approaches its limit faster as x→», y=2* or y=x²?

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Q: (4- x - x² if x ≤ 2 2x-7 if x > 2 Calculate the following limits. Enter "DNE" if the limit does not…

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Q: Determine the infinite limit. limit as x approaches 3 from the right side of ln(x2-9)

A: We have ln(x2 - 9 ) if we take x as √10 which is approximately equal to 3.16, then, x2 - 9 =1…

Q: 8- x- x2 if x 3 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x)…

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Q: V-1- x + 5 if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand side limit of the…

Q: 6 - x - x2 if x 4 Use a graph to determine the following limits. Enter DNE if the limit does not…

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Q: 5. Show that x³y³ lim (x,y) →(0,0) 2x¹2 + 3y4 does not exist.

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Q: Q4)A) Find the following limits (for two only). x+1 1. limy--17-x-2 1-VE 2. limy-1 1-x 2x 3. lim--0…

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Q: compute lim as x goes to infinity of ln(x)^1/ln(x)

A: Consider the equation

Q: if x — 4 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x→ –…

A: a)

Q: - x – x2 if x 2 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(æ)…

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Q: How do you approximate a limit numerically AND graphically?

A: We always evaluate limits from both the left and right directions and if they match, then, the limit…

Q: §8 – x – x2 if x 5 Let f (x) = Calculate the following limits. Enter "DNE" if the limit does not…

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Q: According to the alternate form of the definition of the derivative, to compute f′(0), we need to…

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Q: 1) Show that the limit doesn't exists : ysinx 3) lim (x.y)-(0,0) x²+y2

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Q: 1. Investigate the limiting behaviour of x2 lim (x,y)¬(0,0) x2 +3xy +y2

A: It given function fx,y=x2x2+3xy+y2. When x,y=0,0 in fx,y=x2x2+3xy+y2 will result in 00. Set the…

Q: Suppose that f(x) is a differentiable function (with a continuous derivative), such that f(0)=f'(0)…

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Q: In(x/4) z+4 x2 – 16 (Enter undefined if the limit does not exist.) Find the limit: lim

A: Solving the problem by finding the limit of the given expression.

Q: 2. Use e -d of the limit to prove that lim z= 4

A: Given below the detailed solution

Q: Find the limit as x approaches negative infinity of (xe1/x-x)

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Q: We determined that l'Hospital's rule applies to the limit  lim x→5   x2 − 10x + 25 x2 − 5x

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Q: In(3x) EXAMPLE 3 Calculate lim x → 00 SOLUTION Since In (3x)→ ∞o and In (3x) 1/x lim x → 00 = lim…

A: Topic = Limits

Q: Discuss the continuity of : Q1 x+ for *く0 for osr 2 Q2 1-x lim

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Q: Find the limit of the function along the path y = 2x X-1 lim (x.y)-(0,0) y -1

A: We have to find the limit of the function along the path

Q: Find g'(x) for g(x)=-x^2+3x+2 by using the limit definition of a derivative.  lim x-->0…

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Q: 3x – 1, if x 8 | Let f(x) = { 5 x+9 Show that f(x) has a jump discontinuity at x = 8 by calculating…

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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.