2xy3 lim (xy)-(0,0) x² + 2y6

Q: lim x→-0.5- Vx + 1

A:

Q: lim V2 XH

A: function is well defined , for calculating limit directly put the value of x and we will get the…

Q: lim (2,1)→(0,0) xª + 4y²

A: The given limit is,

Q: lim    (5e2x-3e-4x)/(6e2x+2e-4x) x → −∞

A:

Q: 8. (x - 1) dx √x lim

A:

Q: lim (1.)(0,0) r +y – a²y²"

A:

Q: x' +4 a. lim X-4 x-2 %3D x² -1 b. lim- xl x' -1 Vx - Ja lim- с. х —а

A: topic - limits

Q: lim x+0 V1 + 3x – 1

A: SOLUTION-

Q: lim 2x

A: Given: limx→∞2xx+1-1

Q: lim Vx2 + 2x – 3 x→-3-

A:

Q: Lim メー→& 5X 2X+XSin3 X -2X++

A:

Q: lim 4e-4x

A: Using limit property we have

Q: lim (2 - Vx +2)

A:

Q: lim 17) P - (5, 5, 1) In (z\x2 + y²)

A:

Q: lim (x,y)-(0,0) x²+y6

A: Evaluate: limx,y→0,0xy3x2+y6

Q: lim (x²+2) sech(x) X → 00

A:

Q: lim 7x+x² X-3

A: Given that, limx→37x+x2x-3

Q: lim (12x1/(2 In(x)) x0o

A: To determine the value of the limit.

Q: limy 2 X- 2

A: Here we have to evaluate limx→21x-12x-2

Q: lim (Vx - 1) 4 X. x→27

A:

Q: 3x2 1) lim (x,y)-(0,0) x2 + y² + y2 ysinx

A:

Q: %3D lim 3t -3

A: Given,           limt→-33t3

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

A: .

Q: lim Vx2 + 2x – 3 x-3-

A: It is given that, limx→-3-x2+2x-3 According to the rule of limits, the limit will exist only if…

Q: lim,-«G)* + x²+4 ()* limx--o %D 3x +1 a. -1 1 c. -3 Od. 3.

A: Given, limx→-∞53x+9x2+43x+1  We have to evaluate the limit.

Q: 54. lim 2 (2-x)' 55. lim y r+1 x-1 56. lim (Vx+ +2x-V-2x

A:

Q: Lim 1-Vx X-1 1-

A: We have to find given limit.  Concept:

Q: lim zx+xて Xー→3 メ-3

A: Apply L hospital rule

Q: Calculate the limit

A: We have to evaluate the following limit: limx→∞9x3+x-x32

Q: lim (VI+z- VF),

A:

Q: lim (2f(x) + 3g(x)) = x--3

A: Given

Q: Find the limits

A: Given: limx→∞x+9-x+4.   In order to solve the given limit problem first try applying the limits…

Q: lim [2Ax) – 3g(x)] x → a

A: Given ,   limx→af(x) = 3   ; limx→ag(x) = 3

Q: 3x3 lim (r,v)→(1,-2)! - xy2

A:

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

A: lim(x,y)→2,1x2-2xyx2-4y2

Q: X2 4 3) lim メーや2 3-Jx2ょ5 it

A: We will find the solution of this problem.  Here,  we will use L.HOSPITAL. RULE.

Q: Vz - 3 lim z-3 z2- 9

A: We know,  limx→af(x)=f(a) a2-b2=(a-b)*(a+b)

Q: Find the limit

A:

Q: lim Vx2 - 5x +7 3. *2 -6x+1, lim(t1,3 4. *1

A: To evaluate: 3. limx→2x2-5x+74. limx→1-6x+183

Q: Lim Ix-2 wr メ→2 x4

A:

Q: x² yey lim(x,y)→(0,0) x4 + x + y²

A: To evaluate the following limit.limx, y→0, 0 x2yeyx4+x+y4

Q: lim 2x² (x+1) a. b. lim 3(2x+1)* 2'-2r+5x-1 c. lim 2x-3x+1

A: In this question, we find the limit at negative infinity for each of the given functions.

Q: lim (x, y) → (4, -2) x2y + xy2 x? – y2

A: The given expression of the limit is: lim(x,y)→(4,-2)x2y+xy2x2-y2

Q: lim (x2 + 2)sechx X→+0

A:

Q: 2xy lim (x.y)-(0,0) x² + 2y6

A:

Q: x2 - 4 a. limz-1 3r² + 6 c. lim→2 x² – 9 V2x – I – 3 b. limz→-3 d. lim, 45+ 1² + 2x – 3 I- 5

A: We have to find the given limit. (a). limx→1 x2-43x2+6

Q: lim (x,y)(1,2) 2x +x*y-xy 4x2-y?

A: Given,          limx,y→1,22x3+x2y-xy24x2-y2

Q: lim (V10 + 2x+ x² – x) -

A: we have to calculate the limit…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.