Consider the function -2 if x < - 19 f(x) = %3D 20x + 378 if x > – 19 Step 1 of 3: Find lim f(x). x→-19-

Q: C. X-y= -2 d. x+y =-2 g. -2x - 2y = h. 2x+ 2y=- If f(x) = /x, which of the following represents…

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Q: If f(x)=2-3x². O a. O b. O c. lim h→0 lim h→0 lim 30 From first principles select the correct step.…

A: Given :fx=2-3x2

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: Find the limits lim (V² + 3 + x) X -00

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Q: - 6x - 15 if x -3 Calculate the following limits. Enter "DNE" if the lim f(x) = I -3

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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: Find the limit. 3e - 3 V1 + t - 1 4 lim 1 +t/

A: We have to find the limit of this Vector. If the limit 0/0 form, then we can use L' Hospital rule.…

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

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Q: V5x+9-3 -lim x+0

A: To evaluate: limx→05x+9-3x which is in 00 form. So, the L'Hopital rule is to apply.

Q: Calculate the following limits. t2 - 2t - 3 lim t43 (t-3)3 a) |x-5| b) lim x+5- x2-4x -5

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Q: Find the limit of the exercise below.

A: Factor the numerator using a^2-b^2=(a+b)(a-b) formula. With a=t and b=4

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: b) Find two functions such that lim, 0 f(x) = 0 lim, 0 g(x) = 0 but lim, 0 f(x)g(x) = 1

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Q: If the line 3x - 5y = 7 is tangent to the graph of f at the point where x 4 then lim В. A. D. 5 С. З

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Q: Find the value of lim f(x) 1 f(x)3= 1+5/x -0.6 -0.5 0.16 01 E -0.6

A: To find out the correct answer.

Q: (x+h)³-x³ h C. lim- h-0

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Q: Evaluate in terms of the constant a.

A: We have to find the limit in terms of constant a: limx→02a+x This is determinate limit so we need to…

Q: Estimate the value of lim 1 + 3x 1 by graphing the function f(x) = x/(/I + 3x – 1).

A: It is given that limx→0x1+3x-1 It is known that if we have limx→af(x)g(x), and after plugging the…

Q: Find lim (√2-t, et-¹, In(t + 1)) t-0

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

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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 3x – 1 0, find lim f(x). X→3

A: Given query is to find the indicated limit.

Q: 3. y = f(x) 4 6. -1 lim f(x) =

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Q: (4) Consider the function + 3bx + 262 if x 1 For which value(s) of b does lim f(x) exist? Justify…

A: Given: fx=x2+3bx+2b2             if x&lt;1 fx=x-1                             if x≥1 limx→1fx…

Q: In parts (A)-(C), find the indicated quantity for y = f(x) = 5 – x². A) f(- 1)– f(– 2) (-1)-(-2) f(…

A: Given function is y=f(x)=5-x2f(-1)=5-(-1)2=5-1=4f(-2)=5-(-2)2=5-4=1f(-2+h)=5-(-2+h)2=1+4h-h2…

Q: 2. Consider the function: + 3 if x 2 %3D 17 if x = 2. %3D Find lim, 2 f(x).

A: Function given is- f(x)=x2+3       if x&lt;2x3-1      if x&gt;217           if x=2  To find…

Q: Find the limit of the function lim x² 3x +2 X-1 X-A

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Q: When the function f(x) satisfies f(1) =1,f'(1)= 3 obtain a value of lim/ (2)" -1 x→1 x² – 1

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Q: (M1.4 C) Consider the two functions h(x) = %3D and k(x) 2² + 4x+4 2+x-2 Compute the lim h(x) and lim…

A: Given: The functions hx=x2+x-2x2+4x+4 and kx=x2+4x+4x2+x-2 To find: limx→-2hx and limx→-2kx

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: Use the graph to compute the quantities asked for. y lim, 3 f (x) does not exist -1

A: our objective is to find the limit

Q: Find the indicated limit 2x lim(- VX +1 X>00

A: This question is related to limits, We will solve it using given information.

Q: lim (In 2x + 5) + 4 X→ー1

A: Solution:limx→-1ln2x+5+4=ln2-1+5+4

Q: e2h-1 if f'(a) lim-0 what is f(r) and what is a? h

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Q: nd the one-sided DNE lim_(x². +x+5) x--5- exists). (If an answer does not exist, enter DNE. Submit…

A: Topic:- limits

Q: Find the value of the positive constant c such that....

A: Given- limx→∞x-cx+cx=14 To find- The value of c. Concept Used- If any limit of the function fxgx in…

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

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Q: . What is the point discontinuity of the x² – 1 lim x→-1 x +E 1

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Q: If lim as t approaches 4 of the function ((g(x)-6)/(t-1))=1. Find lim t approaches 4 of g(t).

A: The given function is ((g(x) - 6) / (t - 1))  As limit t approaches to 4 the value of the function…

Q: if Væ² – 5x – 6 < f(x) – 1 < v6² – x² then find lim f (x) - | - x-6

A: Given:x2 - 5x -6  ≤ f(x) -1 ≤ 62 - x2To find : limx→6f(x)

Q: Find lim at inf: (x^2 + 2x)/(x - 7) Don't use L'H

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Q: If V5 - 2r s f(x) < V5 - x for -1 sxs 1, find lim, 0 f(x).

A: Given: 5-2x2≤f(x)≤5-x2

Q: Evaluate the limit *dx – x – 4aª lim 3 A) В) 1 C) D) 4 E)

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Q: Let flx)= S2x-1 if x>3 what is lim f(x) ? 2x+2ifX<3, what is lim flx)? メ-3 とラメふとす

A: Given: fx=2x-1if x&gt;3x+2if x≤3

Q: Consider the function - x2, x+1 f(x) = 2, x = 1 O Graph the function f(x). O Find lim,1-f(x) and…

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Q: 6) Find lim f(x). X>T/2

A: Given graph we have to find limx→π2f(x)

Q: Find the limit. 7) lim x-5' x - 25 A)1 B) 0 C) -

A: We can solve this problem using the concept of limit.

Q: 2f(x) + 3x – х — 1 15 - Suppose that lim 5. Find lim f(x).|

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

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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.