tan Зy limy 0 3y O 3 O undefined

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

A: Answer and explanation is given below

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

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Q: Prove that

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Q: 3. lim,10 Vx – 1

A: The limit of any function is defined for any function F(x) on any interval that contains point at…

Q: 7. et² -e-y² = }(e - e-1) lim %3D (x, y)→(1,1) x+y

A: To Determine: to prove  lim(x, y)→(1, 1)ex2-e-y2x+y=12(e-e-1) Given: we have a  problem based on…

Q: Find lim (x,y)→(12,3) xy cos(x – 4y). OS 1. –36 2. 36 3. 3 4. 0

A:

Q: Find lim eR dt x 00 1/e 1 e

A: We will find first integration then after we apply limit

Q: -xy lim (x,y)→(0,0) x²+y2

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Q: Find lim "(x.y)→(0,0) (4 + (x² + y? ) In(x² + y² )) Dose not exist O 1 4

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Q: Show necessary computation x²-9y? lim (x,y)→(1,0) tan-1 (x4 – 4xy + y²) lim (х,у)-(0,0) х-Зу b. а.…

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Q: æ In(sec(2æ)) (sin(3x))³ lim x→0

A: Given,             limx→0xlnsec2xsin3x3

Q: Find the limits

A:

Q: - 2 lim c. x→o Sin(x)

A: It is given that X approaching 0 from the left, X<0. Therefore, Sin(x)<0. Therefore, the…

Q: Compute 1) Lim X-3.9טTX 2) um X-71T sin x TT-X 3) um -X. X2-X-6

A: (1) The given expression of limit is

Q: In(cos ax) limx-0 ? In(cos bx)

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Q: c. lim In³ x

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

A: See the attachment

Q: .2.4 lim (z,y)→(0,0) x² + y?

A: follow next step

Q: lim In(x2 + y?) (x,y)-(0,0)

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

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Q: Compute lim 2>0 sin x O 2 O-1 1 undefined

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Q: Evaluate: lim   (1−cos−1x)csch(1−x) x→1−

A: We have to find the limit.

Q: Evaluate lim (2+ y) sin(x). (x,y) → (1,6) 02 O O o O Does not exist

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Q: 1 Evaluate: lim 1 + 4x 4 0 4 e O Ve O e4

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :   =…

Q: #1. lim t-tvt 213/2 12 +3t – 5 t→ 00 #2. lim x → - o0 x' +1 #3. lim tan1 (In x) x → 0+

A:

Q: lim 4y° + Jy18 – 1 -00

A: Given that: limy→-∞4y9+y18-1

Q: (b) lim (r + 1) In x

A:

Q: B. lim, 0+(1 + 2r)In(2=)

A: Given: limx→0+1+2xln2x   As we know from the limit rule; If the limit is limx→afxgx and it result of…

Q: (c) lim 1 In x x→0+

A: To find out the limit

Q: -xy اس3: أحسب lim (x,y)→(0,0) x²+y2

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Q: x+y lim In ху (xy)-(1,1)

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Q: (b) lim (sin(x) csc(x)) 00 O 100 O c00 O o. 0 O 00 - 00 O not indeterminate 이ㅇ 818

A: sin x .csc x=1

Q: 5. lim (ex – V2x) x→0+

A:

Q: 16+y limy-o

A: The given function is 16+yy-4y. Simplify the given function as follows.…

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

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Q: 2. Show that lim (x,y)→(−1,0) (x + 1)² sin y (x + 1)4 + y² does not exist.

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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: 3z+ 4y lim (2,0) +(0,0) 2z - 5y OA- OB OCo O D. Does not exist

A: Explained below

Q: 1 lim In csch (1– 2x,

A: Let L is the value of given Limit

Q: 2 In(x) c. limx→1 1-ex-I d. limr¬0 sin(x)-x cos(2x)-1

A: We can answer both the question as below.

Q: Find lim e dt 0. 1 1/e

A: We find out limit of given function. See 2nd step.

Q: (b) lim æ In(x² + y²) (x,y)→(0,0)

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Q: Evaluate

A: Our Aim is to evaluate the limit given below:-limx→0tan (2x)x-(i)

Q: 1 lim(2x + 1)zx =? X→0

A: In the given question, the concept of Limit is applied. Limit The limit formula is employed to…

Q: Find the limit.

A: