-10 2468 10 x -4+ ad • +8- -10- Find lim f(x) = %3D

Q: 5. Evaluate lim sin(x)-(x² +3x– e*). 1-0

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Q: 2h 4. lim h0 2h S(x) dr

A: Answer and explanation is given below

Q: 3x 15 if x 3° Compute the following or state that they do not exist. a) lim g(x) x-3- b) lim g(x)…

A: Please refer to the image below

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

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Q: 1-cos x 9. lim x00 x2

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Q: Q4: A) solve: 1+rsin 1) lim y-0 1+xcos

A: Given: limy→01+xsin1x1+xcos1x

Q: Q4: A) solve: 1+xsin 1) lim- y0 1+xcos sin 2) lim -2m 20-4

A: Note: We are entitled to solve only one question at a time. To Find: i. limy→01+xsin1x1+xcos1xii.…

Q: -2x lim (e cOs x) х) x → 00

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Q: Find the limits in Exercise

A: The limit x→a+ implies x  approaches a from the right. The limit x→a- implies x  approaches a from…

Q: 2x 14x + 20X Limits. Evalute lim X-5 rounded to 4 decimal places x2 - 6x + 5 O 0.1333 O 1 O 0.5 O 2…

A: We can find the limit as below.

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Q: 3 k3 -ル+} (my)0, t) 4 +n -y lim

A: Given that  Limit

Q: 4.x 2x 7e lim 1- e4x

A: We have to find limx→∞ e4x-7e2x1-e4x.

Q: (금 1 Evaluate L = lim T→2 + x² – 5x + 6 -

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Q: Use the graph in Figure to find each of the following:

A: Limit L of a function at x=a is the value that a function approaches from both the left hand side…

Q: 2 sin? x lim х-0 5x(1+сos x)

A: Let L=limx→ 02sin2x5x1+cosxlimx→ac·fx=c·limx→afxL=25limx→ 0sin2xx1+cosxPlug in the value…

Q: 4 Find Lim x-0 2e* – 12 А. В. C. - 0.4 D. 0.5 Select one: O A O C O D NIN 13

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Q: What is lim tan(x)? Why? AY 10 8 6. 4 2 -0.S 0.ST, 0.5n, 1.5a, 27 2.5m -4 -10

A: Given limit is limx→π2+tan(x) As shown in the graph of tan(x), as x approaches π2 from right side ,…

Q: 4. Find the following (x – 4)5 lim 1² – 16 lim t2 – 4 lim t--2 t3 + 8 (a) (b) (c) 1→4 (x – 4)3 I + 4

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Q: Find lim 1+1? 1-e24 -2t -1 tant, 2 2 1-1

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Q: 4. Given there exists a function h(x) such that 2x³ + 5 < h(x) < xª + 5 for all r near 2, h(x) +3…

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Q: Ex x-2 XE3, X-2 12) Consider メレ3 2) lim. (f(x) b) lim. (f(x)

A: Topic:- limit

Q: * + 2, if x 0' (a) Find lim f(x). (b) Give a simple reason why f is discontinuous at 0.

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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: 4.lim 1252x-7+2 Sーズ 5. lim e*+1 X-4

A: Let's find.

Q: り Lar Po-S 2x45 fo) =S 2x45 XくO 3-5x 1+4X+x3 find (0) lim fox) (6) lim fa) メー→+0 X -00

A: To find the limits of the given function f(x)

Q: 1 1 V13+x 3 h. lim X→0 X + 4

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Q: S 1.4x + 0.8, x -2 f(-2) = lim f(x) = x--2- lim f(x) = x--2+ lim f(x) = || x--2

A: E

Q: 2. メー gu)= - fex) = X üls Is1 3メ-1 احب lim (fog) x メー

A: We have to find limit

Q: 1 4. Find limx→0+ ( ) ex-1

A: Given :          limx→0+1ex-1-1x

Q: (220_ 3.x)– (e20_3e) lim -3x is x-e

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Q: If 7- 4x s g(x) s7 cos x for all x, find lim g(x). lim g(x) = X-0 (Type an integer or a simplified…

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Q: |x² +1 if x 0 x→0

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Q: Q3) Find: (1) lim, V1+cos 2x (2) lim-2 (x+ 2) 14-x2

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Q: 2. (a) lim T-cos e (b) lim. -70 In R tim (0) メーール

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Q: x² +1 if x -1

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Q: 7- x2 if x 2 Iff (x) find lim f (x). I→-1+ |

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Q: 1x+21 Ex.2: lim ダー→ -2 (x+3) x+2

A: limx→-2-(x+3)|x+2|x+2

Q: 1) Answer the following: 1. Find: lim-5-25 x-5 2. Find x2 + y? = 9xy dx 3. Find y': y = 5 sin3x

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Q: x+1 If f(x) = Solve to find lim f(x)? %3D Vx2+5-x'

A: Here is complete computation for your limit

Q: 399. [T] lim e(x - 1) x-1 x-1

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Q: 4 6.xy1 Find lim if it exists. (x,y)→(0,0) x² + y8 *

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Q: 1. lim (x2 + 2x -3) オ→4 3.9 3.99 3.999 4 4.001 4.01 4.1 f(x) lim (x2 + 2x - 3) D Xー→4

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Q: 22) Find lim -5 e-2x+6 .given e =2.7 and e0 = 1. = %3D X 3 A) -13. 5 В) - 2.7 C) 0. 0 D) -5.0

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Q: 9 – y². |-(16 * 10)x – (4 * 10) lim . -] + lim y--33 + y x + 10 x--10

A: Given,            limy→-39 - y23 + y + limx→-10-16*10x-4*10x + 10

Q: ni eoulav sd no 2x + 5 13. lim x→-2+\x + 1八 +x ber

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Q: 4x? — 25х + 25 (a) lim x→5 x² – 8x + 15 | Vx + 22 – 5 (b) lim x→3 x – 3 -

A: The limit of a function limx→Xfx=Y means that value of  function fx can be as close to Y by making…