Find the limit, if it exists. (If an answer does not exist, enter DNE.) xy8 lim (x, y)→ (0, 0) x³ + y12

Q: Find the limit, if it exists, or show that the limit does not exist. x² - 3y² lim (x,y) (0,0) x² +…

A:

Q: nd the limit (if it exists). (If an answer does not exist, enter DNE.) 15 lim (x,y) → (0,0) x6y²

A: To  find the  limit.

Q: x² - xy (x,y) (0,0) √√√√y If it exists, find lim Answer: .Write DNE of the limit does not exist.

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 2 - |x| lim x-2 2 + x

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (e-X + 5 cos(2x)) x- 00

A: Cosine is a period function,it does not approaches any values as x approaches to infinity.

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→ (0, 0) x² + y8

A: Given: limx,y→0,0xy4x2+y8 To find the limit if it exists or to determine exists or not. Limits in…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 1 lim t→0 1 + t

A: Given: (a)   (b)

Q: Find the limit if it exists. (If an answer does not exist, enter DNE.) x² lim (x, y) → (0, 0) (x² +…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) х — 8 lim X → -0 x + 6

A: We have to evaluate the limit

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) xy + 7yz² + 8xz² (x, Y, 2)-…

A:

Q: lim (x, y)→(0, 0) xy4/x2+y8

A: Given limit  L=limx,y→0,0  xy4x2+y8

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 2 - x lim x-2 Vx + 2 – 2

A: Given limit is: limx→22-xx+2-2 To evaluate the limit.

Q: Please

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x + y lim (x, y) → (0, 0)…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 3 lim t→0\tv1 + t -

A:

Q: Find (in terms of the constant a) V5(a + h) – V5a lim h-0 Limit = DNE

A: We have to find

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 1 (e⁹ti + sin(6t)j + e-7tk…

A: To find, limt→0e9ti+sin(6t)6tj+e-7tk

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 2 - X lim X→2 Vx + 2 – 2

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim ху (x, y) (0, 0) x²+ y8

A:

Q: Find the limit or enter DNE if the limit does not exist. 5 z-6-2 lim T-2

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.). V1 + h 1 lim h → 0

A: Authoring guidelines:…

Q: Find the limit, if it exists, or show that it does not exist: x² – y? lim (x,y)→(1,1) x³ – y3 '

A: Explanation of the answer is as follows

Q: Find the limit, if it exists, or type DNE if it does not exist. (x + 18y)2 А. lim DNE (x,4)→(0,0) x²…

A:

Q: Find the limit (if it exists). If it does not exist, explain why.

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) t2 + 8 lim t -0o t3 + t² - 1

A: Here, we need to find the limit of the expression limt→ -∞ t2+8t3+t2-1. So,              limt→ -∞…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(0, 0) (x2 +…

A: Formula used:A function f(x, y) is continuous at the point (a, b) if,

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE 2 2 lim t-0t t2 +t

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 2 - |x| lim x→-2 2 +x

A: Recall: absolute value function

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x²yeY lim (x, y) (0, 0) x4 +…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim yz (x, y, z)- (0, 0, 0)…

A: limit exist and the value is 0

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) ' 4 - lim t-0\t t2 +

A:

Q: Find the limit, if it exists, or show that the limit does not exist. a) lim (x,y)→(0,0) 3x2+2y2/…

A: (a)-lim(x,y)→(0,0)(3x2+2y2x+1)Put the value (x,y)=(0,0)lim(x,y)→(0,0)(3x2+2y2x+1)=302+2020+1=0…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 9 lim t-0 1 + t ty

A: Given :limt→0 9t1+t-9t

Q: Find the limit, if it exists, or show that the limit does not exist (a) lim (v) (0,0) 4+4y² U=D 15m…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(0, 0)  xy4/…

A: To find if the limit of the function (of two variables) exists.

Q: Find the limit, if it exists, or show that the limit does not exist. 2 x² - 3y² lim (x,y)→(0,0) x² +…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x²yeY (x, y) → (0, 0) x4…

A:

Q: Find the limit, if it exists, or show that the limit does not exist. 3x²+2y2 2x*y+2 a) lim…

A: now , we will find the limit .

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 1 lim X - co 4x + 3

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (e³ti+ sin(4t)j + e-6tk…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) -{ x – 4x +1 -x? + 4x – 5…

A:

Q: Evaluate the limit, if it exists, or show that the limit does not exist. Pr cos(2x+y+n/6) e 2x+y d.…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x + y lim (x, y) → (0, 0) x…

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 4x + 4 lim x--1 x + 1|

A: To find limx→ -14x+4x+1

Q: Find the limit or enter DNE if the limit does not exist. -7 lim T 8 T-49

A: From the given problem: limx→ 8x-7x-49

Q: Find the limit if it exists. g3 – ry? (a) lim (x,y)→(0,0) x²+y? (b) lim (x² + y³) In (x² + y³)…

A: See the attachment

Q: Vx +1–4 lim I15 I - 15

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (t + Δ)2-3(t + Δ) +…

A: The derivative of the function is calculated as follows.

Q: e-²-y² – 1 lim (7,y)→(0,0) x2 + y²

A: To find limit using polar coordinates limx,y→0,0e-x2-y2-1x2+y2

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 1 1 lim (x + h)" h-0 h

A: