(2х — 1)1/2 — 3 ii. Lim X-5+ х-5

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

A: Answer and explanation is given below

Q: (2-4)* Q1: limx-1 sin(x³–1) x-1

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Q: 42t lim t+0 4 - 1 - 1

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Q: 1-cos x 9. lim x00 x2

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Q: Evaluate

A: To evaluate limx→0 e2x-1xSubstituting x=0 , 00 form is obtained Hence , L' Hospital's rule can be…

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

A: Given: limy→01+xsin1x1+xcos1x

Q: sin 2t lim t- 2t

A: To find:limt→ 0sin2t2t

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: 2+4r+4 If f(x) = why does f(-2) not exist? Show algebraically that lim f(x) %3D X+2 I-2 does exist.…

A: fx=x2+4x+4x+2 take x=-2 f-2=-22+4-2+4-2+2 f-2=-22+4-2+40 here denominator is zero when x=-2 so the…

Q: Q4 / Vx+1–1 A ) Find limx→0

A:

Q: Q3) Find: (1) lim, 1+cos 2x (2) limx→-2- (x + 2) |4-x²| 2-x

A: Q3)1Here, we need to calculate the limit of ,limx→π21+cos2x4x-π2

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: x² + 4 Find Lim x-0 ex + 1' A. 2 B. 00 С. 1 D. 4 Select one: O A O D O B ос

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Q: Q 4. (a). Simplify the indicated limits on the following. 3x2+5 lim x-0 x²+1 + el-*] (i). (ii). lim…

A: 1) =?

Q: Evaluate: lim, 0 sin 2t t³ (t-1)²

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Q: t2+3t+2 2. lim t--1 t2-t-2

A: To find the limit of the given function

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Q: x--2xy lim (x,y) - (2,1) x²-4y² .A 3 .B 1 4 .C .D 1 2 ONIM

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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: 8r + 5tant Find lim t>0 sint

A:

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: 3 of 20 Select the best answer. (2e + 1)ª lim z+00 (tan(x))- O DNE

A: We have to find the limit.

Q: + h 4 (a) Lim×-1'x+1 X (b) Lim h→0 V5h + 4 – 2 -2 - t3 – 1 3. (c) Lim t-1 t-1 II

A: To show the given limits, we use the algebraic indentity and rationalization of a fraction.

Q: Prove the limit statements

A: Given: fx=4-2x,x<16x-4,x≥1 we know that limit of any given function at given point exist only if…

Q: 3.lf limT(x--1) [(x^3+x^2-ax)] =1-a, then a= O a. 1. O b. 0. C. -1. O d. 1/2. 4-The equation…

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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: 2n j3 lim - 24n n00 j=1

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Q: 6.The lim x +3 is equal to 1S 3x-4x+n sin t. 7.The [1 is equal to

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: 2-у 4. lim y-4 y2-8y+16

A: 4. limx->42-xx2-8x+16

Q: 2t – 1 Evaluate lim,, tan-1, e> - t - 1

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Q: -4x + 2 if r 2 Let f(r) = %3D -5x +4 if r > 2 Find lim f(x), if it exists. z+2 O DNE O-12 -6 0.

A: Given, fx=-4x+2 if x≤2-5x+4if x>2 We have to find limx→2fx if it exists.

Q: 1 1 dz = lim V3(w + h) – 2 V3w – 2 h 1- dw h-0

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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: Q5:The value of: * sin (5x) lim I-0

A: We have to find the value

Q: Vx? +12 - 4 x²-5x +6 2x-5x +6 a- Lim cos x b- Lim c- Lim d- Lim x - 2 x'-8 3x -8 --

A: If in limit denominator and numerator forms 0 by 0 use L hospital rule

Q: *+xVア-2) lim )(4,16) x - Vy

A: Here we have lim(x,y)→(4,16)x2+xy-2yx-y

Q: V3r-1 7. lim X- sin? x-cos(2x)

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

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Q: -11x lim I+00 11 + 2x -1 6x – 12 lim 1-00 r3 + 9x – 14 ,2 lim x→0 12 – 15x? V2² + 15x lim 5х — 13…

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Q: 1. lim (2r + 5) 2. lim (10 3x) X12 3. lim(-x + 5xr 2) 4. im (x'-2r? + 4x + 8) 5. lim 8(t - 5)(t-7)…

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Q: 1(a)Find y' given that y In(2x + 1) + e**+5 %3D 5x2-1 b) Evaluate lim x00 2x2+1 c) Find y' if x'+ y…

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Q: nx + 1 If lim エ→+0 = 9, find n. 1 %3D nx -

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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: Q27. The value of lim x-0 (1+x)5-e5x+sin x² x2 is? →

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Q: (b) lim→0 ē2a +1

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Q: 7 B lim f (x)% = 6 T--2- A 2 1(-0.1, 0.5) B2 -7 -6 -5 -3 +2 2 -1 -2 -3 F E 3.

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Q: r2 + 8r + 15 if r<2 if z 2. if a <2 Let = f(x) 4x +7 lim f(x). I-2+ Find

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Q: 7. *Find the values of a and b lim sin(ax-2a) x-2 = 3 %3D x-2

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Q: 4f(x) + 2x – 14 Suppose that lim z+1 5. Find lim f(x). I→1

A:

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.