lim (x, y) - (6, -2) (x?y + 5xy2 + 4)

Q: Find the limit.

A:

Q: z2-2z+4 i) Find lim Z→1+v31 Z-1-v3i ii) z4-1 Find lim Z--i Z+i

A: The general form of a complex number is given by z=a+ib, wherea,b are two real numbers and i=-1. The…

Q: lim (4x – 3y)= -11 Prove that (r.,v(-2,1)"

A:

Q: lim (cos x)x² 1/x2

A:

Q: lim (1.)(0,0) r +y – a²y²"

A:

Q: Find the one-sided limit

A: limx→12-x secπ x Now secπ x tends to ∞ as x tends to 12 from the left side.

Q: lim (x,y)→(0,0) (x² + x²) (х, у) ->(0,0) а. 0 b. 1 с. 1/2 d. Does not exist

A:

Q: lim cos x→0+

A: Given lim×-0 cos (1/x) For the above limit we have to solve it first

Q: lim Sin (x-B) XB (x-B)

A:

Q: 3 sen y lim (xy)-(3,0)

A: Since lim(y tends to 0) sin( y)/y=1 Therefore, lim(x,y)tends to (3,0) x^3sin(y)/y=(3)^3×1=27

Q: lim cot(z) %3D - 10 -1 0 3 0

A:

Q: lim (x, y)-(0,7/4) sec x tan y

A:

Q: lim (x,y)→(0,0) (2² + y²) sin x² + y² , + y?.

A: Answer is 0 Explanation is given below..

Q: Find the limits

A: The given expression is limx,y→3,4x2+y2-1

Q: lim (x,y,z)→(-37,2,–1) (cos(xz) + In(xyz) – x/37) (2т — 2)у (z,4)→(1,0) (x – 1)² + y² xy? - lim lim…

A: Given lim(x,y,z)→(-3π,2,-1)cos(xz)+ln(xyz)-x3π lim(x,y)→(1,0)(2x-2)y(x-1)2+y2 lim(x,y)→(0,0)…

Q: lim (x,y)(2,-3) x 2.

A: We simply put limit here.

Q: limy 2 X- 2

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

Q: Lim 1- Cosx て X-)0

A: Given: L=limx→01-cosxsin2x We know that 1-cos2x=2sin2x…

Q: lim (4+ (2? + y°) In(x² + y²)) (1,y)(0,0)

A: Given; lim(x,y)=(0,0)[4+(x2+y2)ln(x2+y2)]

Q: lim sin (–3 x z) = z-3

A: To find- the limit.

Q: lim (x,y)-(2,4) x² +x/F-2y x-Vy %3D ||

A: Solve the limit

Q: Find the limits

A: Find the limit limx→-πx+4cosx+π

Q: sinar lim,-1 r-1

A: Given limit is  limr→1sinπrr-1 Evaluate the limit. limr→1sinπrr-1=00 indeterminate form

Q: lim (-4 0 sin x x

A: Let ,I=limx→ 01sinx-1xTaking cross multilplicationI=limx→ 0x-sinxxsinxI=0-sin(0)0sin(0)I=00Which is…

Q: lim 15 cos() x→0+ 7x

A:

Q: Find the limits

A: Consider the provided expression, limx,y→0,4xy Find the limit of the provided expression.

Q: sin 5z-sin 3z 14. lim,» +0 sin z

A:

Q: sin(4z) 7. lim I-0

A:

Q: lim Jx-S

A:

Q: Find the limits

A: Consider the given function, limx→∞x2+25-x2-1 rationalize the function,…

Q: lim (x,y)-(0,0) x-y+2√x-2√√y √x - √y

A:

Q: 2. lim 七や~1 Sx?+3-2, zー1

A: To Find the Limits of function 2.) limx→-1 x2+3 -2x2 - 1

Q: Prove the limit statements

A: limx→0x2sin1x=0 Now since the range of sinx is -1, 1, therefore -1≤sin1x≤1⇒-x2≤x2sin1x≤x2 Now,…

Q: lim (x,y)→(0,0) (3 + (x² + y²) In(x² + y´

A:

Q: lim Vx2+1-Va²+1 4-, 5- lim 1 x+2 6-, lim sin 3x X-a -

A:

Q: lim (1,y,2) (0,2,-1) Vy – zeł

A: We find limit of given function

Q: iz° + 1) lim z→-i\ z² 2 +1,

A:

Q: lim x (1 – cos X→-0

A: limx→-∞x1-cos1x

Q: lim_((x,y)->(0,0)) ((x^(2)+y^(2))/((2x^(2)+4y^(2))

A:

Q: lim (x,y)→(0,0) x² + sin?(y) x² + y?

A: Given: lim(x,y)→(0,0) x2+sin2(y)x2+y2

Q: iz3+13 lim z--i z2+1 2

A:

Q: lim =cos メ→! X-1

A:

Q: lim (x, y) (3/2, n) y sin(x – y)

A:

Q: lim (2 + (x + y²) In(x² + y³)) y)→(0,0)

A: Here, lim(x,y)→(0,0)2+x2+y2lnx2+y2

Q: lim(x,y)->(0,0) = (1+x2+y2-cos(x2+y2))/(x2+y2)

A:

Q: lim cos xx x-0

A:

Q: lim sin(2z) = z-/3 %3D /3 2. 1/2

A: We need to find limx→π3sin2x