(a) Lim x-0 (b) Lim h→0 V5h + 4 -2 (c) Lim = 3.

Q: 20. lim_ v3 – x x→3-

A: We have to find the limit

Q: Problem 4 (a) 5x-3 – 4 (i) Lim- x- 2x-2 +9 (х — 3)2 (ii) Lim X0 x2 7- 2x – 3

A: Hey, since there are multiple questions sub part are posted, we will answer first question sub part.…

Q: 9x +1 lim x - 1 V1+x-1 lim x-0 lim 2x2 + 3x lim x05x2 - 2x Dr ohammed Jas

A:

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

A: Given: limy→01+xsin1x1+xcos1x

Q: 1. Simplify: yl1 1 x1?y,20 2. Identify the vertex of the parabola y = x + 4x + 3. (-2, -1) (-2, 3) O…

A:

Q: Problem 4 (a) 5x-3 – 4 (i) Lim- X- 2x-2 +9 (х — 3)2 (ii) Lim X-o X 2 7- 2x – 3

A:

Q: 1S 章テ(メ) H+3x寸hen lim トーつ0

A: the objective is to find the derivative of the given function by using definition of derivative

Q: | Page 3 Question 4 (a) Find the following: x/3 + 9x/5 i. Lim- X-0 6x+/2 – 4x+/4 (2x– 1)-/2 – 3 ii.…

A: The given limit is in 0/0 form, so we can use the L'Hospital's rule

Q: 3. lim_ f(x) = X-3- lim f(x) = X-3+ lim f(x) = x-3 f(3) =

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Q: Page 3 Question 4 (a) Find the following: x1/3 + 9x1/5 i. Lim- х-о бх1/2 — 4x1/4 (2x – 1)1/2 – 3 х —…

A:

Q: lim - 1, avx + 3 – b x - 1 lim If score А. 4 D. В. 2 С. 1 E. -INI14

A:

Q: 7. Evaluate: lim h→0 √9+h-3 h

A:

Q: 5. Evaluate lim x→2 x² - 16 X x-2

A: According to Bartelby's guidelines, we can only solve one question at a time, please post again to…

Q:

A:

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: 1 b. lim ,5 x-0

A:

Q: (а) 1- cos 4x lim x? x-0 5-х (b) lim- 45 Vx-1-/2x-6 312 -t- 2 lim 1² -1 (с)

A:

Q: пу-1 lim y→0_2y² y(e2™y–1)

A: To evaluate limy→0(πy(e2πy−1)+πy−12y2) Rewrite the given expression:…

Q: 2.7h - 1 lim 2.8h 1 lim - and - h 0 h h

A: To see explaintaton

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: 1 2. lim,x

A:

Q: 1 Find lim 3 s-2- \s-2 s²–4,

A: Given, Evaluate lims→2-1s-2-3s2-4

Q: 2. lim f(x) = | x-1 lim f(x) = 1 x1+ lim f(x) = | f(1) = |

A: 2.According to graph limx→1-fx=1limx→1+fx=1limx→1-fx=limx→1+fx=1there fore limx→1fx=1    limit exist…

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: 4х — 1 Problem Find lim x +00 Jx2 + 2

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

A:

Q: X+1 3x-5 lim 3x+1 X-X

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Q: 4x 5e2* – 3e 6e2* + 2e 2. lim -4x x-00

A:

Q: x² – 4x lim +-1 г2 — 3х — 4 I-1 x

A: Limit does not exist Explanation is given below...

Q: 4. lim x² +2x+5) X-2

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: *+xVア-2) lim )(4,16) x - Vy

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

Q: 1. lim )Gt h->0 2. lim xZ X-1 X>( X-I

A: here is the solution

Q: 2. x+3-16-11x-x ² Lim X-1 GAMA

A: as per our guidelines, I m solving only one question, please resubmit other questions To find1. lim…

Q: Problem 4 (а) 5x-3 – 4 (i) Lim x-0 2x-2 +9 (х — 3)2 (ii) Lim X-00 x2 — 2х — 3

A:

Q: 1 1 +x+1 h 4 (a) Lim (b) Lim h-0 V5h + 4 –- 2 5 t3 – 1 (c) Lim- = 3. t-1 t- 1 II

A:

Q: + 3х — 1 V4r6 – 2x lim -00

A: Given that:limx→-∞x3+3x-14x6-2x

Q: x2 – x – 12 lim 2. Evaluat" t→4 3x – V16 – x

A: Limit is the value of the expression as the independent variable approaches certain value, not…

Q: 1. lim(x+2x-3)

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 1 1 х — 1 x+1 h (a) Lim (b) Lim h-0 V5h + 4 – 2 = -2 %3D t3. (c) Lim t-1 t- 1 = 3.

A: Here given that three limit problem and we find its value and prove that. All limit make 0/0 form…

Q: 8. Evaluate: lim |5-x| x-5-5-x

A: To evaluate the following limit.limx→5- 5-x5-x

Q: 7 lim 『ストフ-2 X + 3 メy-3-

A:

Q: V2x(x-1) 3. lim-1 Jx-1|

A: Given limit, limx→12xx-1x-1

Q: Step 3: Expand. dx = lim x6 dx IN lim lim Submit Skip (you cannot come back)

A:

Q: (a) (i) Lim  5x −3 − 4/ 2x −2 + 9  x→∞  (ii) Lim      (x − 3) 2/x2/2  − 2x − 3      x→∞

A:

Q: Find the limits

A: Find the limits

Q: x2+3x+2 (g) lim (h) lim (x³ + x² – 5x) (x+3)(x-3) (i) lim x--1 x+2 X-1 x→3 x-3

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Q: x-1 lim エ→1VX -1

A:

Q: sin' 2x d) lim- x-0 sin' 3x

A:

Q: Find lim I -4 2+1 1 lim z - -4 +1 Show your work and explain, in your own words, how you arrived at…

A:

Q: 1 x |=? Use L'Hospital's Rule 4 lim- 5 arctan -4 arctan 5 xVx

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.