4x2 lim (a,y)(0,0) 4x2 + 4y?

Q: Vx + 3x² 25. lim 4х - 1

A: We have to find the limit

Q: limx-0- (x 8 + x2 V8 a. Ob. -1 1 O d. 0

A: Just I have used the definition of left hand limit and easily calculate the required limiting value…

Q: 3x2 + 1?y? + 3y? + 3z2 3 Show that lim (1,y,2)+(0,0,0) 1² + y? + z²

A: The given rational function is 3x2+x2y2+3y2+3z2x2+y2+z2. Evaluate the limit along the line y=0,z=0.…

Q: lim V2 XH

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

Q: 2x4 y lim (x,y)→(0,0) x³ + 6y²

A: We will discuss about the given limit.

Q: lim Vx+3 メ4zx -3

A:

Q: lim (Vx² +1 – (x+ 1))

A:

Q: Find the limit.

A: Our Aim is to find the limit of the expression given below:-limx→3 x2-3x+4 -(i)

Q: Vx+3x² limx¬0 X→∞ 4х-1

A:

Q: Find the limit.

A:

Q: 4xy (d) lim (x,y)(0,0) x +y 2.

A: Given  Change to polar coordinates

Q: I+3 lim z-3 + x- 6

A:

Q: lim Vx2 + 2x – 3 x→-3-

A:

Q: V1+ 4x6 lim t→-o 2 – x³

A:

Q: iz?-z- lim- z2-1 %3D i0 -i O 00

A:

Q: lim (x,y)-(0,0) x²+y6

A: Evaluate: limx,y→0,0xy3x2+y6

Q: Lim JX-J2 メ→ x²-4

A:

Q: (i) Limx→∞5x−3 − 42x−2 + 9= (ii) Limx→∞(x − 3)2 x 22− 2x − 3=

A: (i) Consider the given limit as limx→∞5x-3-42x-2+9. Evaluate the above limit as follows:…

Q: Vx - va lim 8(х — а)

A:

Q: Does lim(x,y)→(0,0)y2x2 + y2 exist? Explain.

A: Given, limx,y→0,0y2y2+x2 now check limit on y=mx limx,y→0,0m2x2m2x2+x2 limm21+m2 so m21+m2 is define…

Q: lim (Vx - 1) 4 X. x→27

A:

Q: Vx+4 -2 1 limx¬0 ||

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

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: 22-3r 10 d) lim z5 r2 -r - 20

A:

Q: Example 48 lim,→∞(Vx² +x – Væ² + 5) =?

A:

Q: lim Vxe 2

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

Q: Lim 7X + X メー3 メ > 3

A:

Q: aterminate form, use factor 2-1 1. lim X14x+4 +2x-15 2. lim I-3 x+4x-21 x+x-20 3. lim X-4 r-64

A:

Q: 3x3 lim (r,v)→(1,-2)! - xy2

A:

Q: tan³ 2x r3 lim x→0

A: Given that: limx→0tan32xx3

Q: x3-8 lim = 0 %3D х-2 х4—16 FO

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: xy lim (2,y)→(0,0) x³ + y²

A: Solution is given below..

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: lim 15 13 15z2 Vr? + 8z lim %3D HY8 9-4x Vr? + 8z lim 9-4r /7

A: Given query is to find limit of the expression. Since first three has been filled correctly, solving…

Q: x² + y? lim (x,y)→(0,0) /x² =? + y² + 1 – 1 A. -1 В. 2

A: In this question we will use basic of calculus i.e concept of limits of two variables.  To find…

Q: lim (2,y)+(0,0) In(2 + x² + y?) x2 + y?

A: We have to solve given limit:

Q: 5a - 4x + x (a) lim 376 + 6x? t2 + 21 – 3 (b) lim 1 t2 – 3t + 2 23+2 (c) lim 3+3

A:

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: 3x2 (b) lim x0x+1-ex

A: limx→03x2x+1-ex=-6

Q: 4x3 b. lim x→0 2x3+v9x6+15x+

A: The solution is :

Q: x? - 2y2 lim (x,y)-(0,0) x2 + 2y2

A:

Q: 9x2-7x+6 lim I 10z z+10 Evaluate: %3D

A:

Q: lim (x2 + 2)sechx X→+0

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…

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

A: We have to evaluate the following limit. lim(x,y)→(2,1)x2-2xyx2-4y2

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.