13ry lim (z,y) → (0,0) 15x² + y² Find the limit Enter DNE if the limit does not exist. along two different paths. No decimal entries allowed.

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: 1: Find the limit 6x°y5 lim (x,y)¬(0,0) x6 +y10

A: See the attachment

Q: Find the limit. lim (x, y) -(1,-10) y#-10 y+10 x2y + 6y + 10x2+60

A: Given limit, lim(x,y)→(1,-10)y+10x2y+6y+10x2+60

Q: Find the limits : x'+y° lim (x,y)→(1,-1) x +y

A: We have to find the limit: lim(x, y)→(1, -1) x3+y3x+y

Q: 2. Use the paths x = y and x = 0 to verify the limit. lim (x.y)-(0,0) x2+y²,

A:

Q: The lim does not exist. (z,9) (0,0) I2 +y? + 1 Select one: O True O False

A: The given limit is limx,y→(0,0)xy+1x2+y2+1

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

A: We simply put limit here.

Q: 2 メーズ Lim メ→&-X

A: Evaluate: limx→∞ex-x2ex-x

Q: Find Lim-0.0 (r² + y²) In(x² +y²) '(xy)(0,0)

A:

Q: (d) S (1, y) = sin (2), (x, y) # (0,0) 0, (x, y) = (0,0) (e) , r + y # 0 7+y x² + y = 0 0, f (x, y)…

A: Limit of a function: A function f is said to tend to a limit l as a point x, y tends to the point…

Q: x² sin +y f : R² → R, ƒ (x, y) = %3D x + y

A:

Q: Find the limit: 5x4 - 5y lim (x,y) →(4,4) x2 - у² - уг ||

A:

Q: Find the limit: 2x4 - 234 (x,y) (3,3) 22-3² lim Submit Question

A:

Q: Find the limit 3x2 + 3y? lim (г,у) — (0,0) (va /2? + у2 + 4 — 2

A: To find the limit Let, L=lim(x,y)→(0,0)3x2+3y2x2+y2+4-2 Direct substitution of x and y will give 0/0…

Q: Find the one-sided limit V4 - y? lim y -2+ y + 2

A: Given: To find

Q: Find the limit: 4z4 – 4y4 lim (1,9) → (3,3) 4yª z² - y?

A: lim(x, y)→(3, 3) 4x4-4y4x2-y2

Q: A polynomial function P(x) is given P(x) = x² – x² – 6x a) Find all the zeros (- b) Sketch the graph…

A:

Q: D Find lim X,Y)→ (5,1) XY X+y or show it DNE.

A: We have to find limit

Q: Find the limit, if it exists: 3x2 + 4y lim (xy)-(0,0) x2 + y²

A: