()- (T I-1 lim 2x-1 |47–1

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

A: Answer and explanation is given below

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

A:

Q: h3 + h² – 8h – 12 2) lim h→3 h³ – 4h² – 3h + 18

A: Given the query is to find the limit of the expression.

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

A: Given: limy→01+xsin1x1+xcos1x

Q: 2 9メー」 gx)= fox) =X üs I31 3メ-1 lim (fog) x メーラ

A: We have to find limit

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: 1 1 1 Lim T2n2+1 + V2n2+2 + V2n²+n]

A: Given- limn→∞12n2+1+12n2+2+..........+12n2+n=12 To Prove- That the above mathematical statement.

Q: 2cosh (z) – z- z2 lim 24 12 1 3 1 12

A:

Q: Find the limit. 7e - 7 V1 + t - 1 9. lim t t 1 + t

A:

Q: 2) lim f(x) x-0 -3 -2 A) 1 B) » C) does not exist D) -1

A:

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

A: To find the limit of the given function

Q: 3 k3 -ル+} (my)0, t) 4 +n -y lim

A: Given that  Limit

Q: e7x + e-7x _ 2 lim x → 0 5 x2

A: Evaluate the given limit as follows. limx→0e7x+e-7x-25x2=e70+e-70-2502=1+1-20=00 Since 00 is an…

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

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

Q: lim x-4y (x,y)- (0,0) 6y+7x .A does not exist.

A: To calculate the given limit: limx,y→0,0x−4y6y+7x

Q: 1 4. lim %3D x→0 x²(x + 7)

A:

Q: 1 - e7x lim 5x -0.1 -.01 -0.001 0.001 0.01 0.1 f(x)

A:

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: -xy س3: أحسب lim (x,y)→(0,0) x²+y² إضافة ملف

A: See the attachment

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…

A:

Q: Let h(x)

A: hx=x2,      x<23,       x=22,       x>2 Now, The left hand limit at x=2 is,…

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

A: To see explaintaton

Q: Find the limits in Exercise

A: limx22-1x

Q: 1 Find lim 3 s-2- \s-2 s²–4,

A: Given, Evaluate lims→2-1s-2-3s2-4

Q: 2-у 4. lim y-4 y2-8y+16

A: 4. limx->42-xx2-8x+16

Q: ху — 2х — у +2 lim (K. y)-(1,2) X* + y² – 2x – 4y + 5

A: Let  S  be an open set containing  (x0,y0) , and let  f  be a function of two variables defined on…

Q: y of -4 -2 -2 (a) (1) (b) lim f(x) x-1 2.

A:

Q: 3x-7 lim zー8 Sx +1

A: limx→∞3x-75x+1

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: -xy اس3: أحسب lim (x,y)→(0,0) x²+y2

A:

Q: *+xVア-2) lim )(4,16) x - Vy

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

Q: 1 1 t 3– 5/t2+81 4 lim 3 2/t2+Vt2-16 Z X→-00

A: The given expression of limit is:…

Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: Find the limit.

A: We have to find the given limit

Q: 1 1 11. lim -1-T+1 (x+1)² + 3]

A: Given limx→1-1x+1-1x+12+3 we need to evaluate the limit Substituting x as 1 11+1-11+12+3

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: f'(0) = Is f(1.5)>0? ('Yes on not) lim fCh-)-f(-)

A:

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: (r-2)(z²–3z+4) Use the graph of f(x) = (x-2)(z²–3z+4) (포-2) to evaluate lim- (포-2) O 2 3 does not…

A:

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

A: Given limit, limx→12xx-1x-1

Q: 19. lim x→2- x² – 4 eas y + 6 21. lim y→6+ y2 – 36 -

A: Given that limx→2- xx2-4 limx→6+y+6y2-36

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.

A:

Q: b. lim X-0* e -3/x 2 X²

A: Please see the attachment

Q: V4 - x2 0sx<2 lim f(x), where f(x) = < 2 9) x-4" 2 sx<4 x = 4 B) Does not exist A) 4 C) 2 D) 0

A: f(x)=4-x20≤x&lt;222≤x&lt;44x=4

Q: 3. Prove lim 3x-7= 2 X-3

A:

Q: 3+2r lim エ→0 =?

A: Given , limx→03x2+2xx

Q: -12 -10 -8 -6 -4 -2. 4 10 12 nd i) lim f(x) ii) lim f(x) iii) lim f(x) iv) f(-8) X-2 %65 t m

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…