Use the following graph to find limits(Enter DNE if limit does not exist). Graph of f(x) 6 4 3 1 -10 –9 –8 –7 –6 +5/-4 –3 –2 2 3 5 7 8 9 10 -2 -3 -4 x → -2: x → 0: x + 3: x → 5:

Q: 1. Show the limit lim (r.y) ›(0,0) I 6 +y² does not exist

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Q: Use the following graph to find limits(Enter DNE if limit does not exist). Graph of f(x) 6 3 -10 -9…

A: We have to solve the problem

Q: Use the following graph to find limits(Enter DNE if limit does not exist). Graph of f(r) 4 3…

A: Recall: Limit of a function :    The number L is called the limit of function f(x) as x→a if and…

Q: Let f(x) { Calculate the following limits. Enter "DNE" if the limit do f(x) = 10- x - x² if x ≤ 4 if…

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Q: Find the limit if it exists. V=f(x)

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Q: Find the limit, if it exists. (If an answer does not exist, 3 - xy ху lim (x, y) → (2, 1) x² +2 +9y²

A: We will apply the limits.

Q: Find the following limits (a) Зп+2 0.3 0.7 0.8 0.2 0.6 0.4 lim 0.5 0.5 0.4 0.6 1 0 0 0

A: Due to the time consumption of the question, we will be answering only the first one. If you need an…

Q: Use the Two-Path test to show that the following limit does not exist. (Use y=x2) lim (x,y)→(0,0)…

A: Using Two-Path test we will evaluate.

Q: Find the limits as x 0 and as x→ -o. (If the limit is infinite, enter 'oo' or '-0', as appropriate.…

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Q: 1. Determine if the following limits exist: 12 + y? (a) lim (1,y)→(0,0) eª + y² – 1 |

A: Let's find limit.

Q: Use the following graph to find limits(Enter DNE if limit does not exist). Graph of f(r) 3 2 -10-9-8…

A: Here we have to find the following limits from the graph,  a) limx→-2f(x)=?b)limx→0f(x)=?c)…

Q: Q4 Evaluate the limit lim (x.y)-(0,0) 3x2+y xy cos y if it exist. If not, show that the limit does…

A: In this problem we compute the limit along x axis and along the line y=x .If these two limits are…

Q: Find the limits. Enter "DNE" if the limit does not exist. y – 5 lim (г,9) -(7,5) 10г3 — 2л3у - 10х +…

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Q: Evaluate the limit using the Basic Limit Laws

A: The given limit limt→7t+212t+123 can be evaluated as, limt→7t+212t+123=7+2127+123…

Q: 3. Can f (x) approach a limit as x → c if f(c) is undefined? If so,

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Q: 4-ху Find lim (x,y)¬(2,1) x²+3y2 if it exists, or show that the limit does not exist.

A: limx, y→2, 14-xyx2+3y2Plug in the value x, y=2, 1=4-2· 122+3· 12=27

Q: Use any method to evaluate the limit given in the figure below or show that it does not exist

A: We have been given the limit  lim(x,y)→(0,0)x4-y4x4+x2y2+y4

Q: Find all values of c such that the limit exists.

A: Our Aim is to find the value of c from the given expression such thatthe limit…

Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) t4…

A: In this question we have to find limit.

Q: Evaluate this path limit: 4.xy3 =??? lim (x, y)¬(0, 0) 2x² +y6 x=y3

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Q: Determine the limit of the following functions: x² – 2xy lim (x,y)¬(2,1) x² –4y2 2х-Зу lim…

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Q: Evaluate the limit using the Basic Limit Laws

A: To evaluate the limit: limw→7w+2+1w-3-1 Solution: Given, limw→7w+2+1w-3-1 Here, given limit is not…

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

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Q: i Let f(r) = 822 +3 Evaluate f(-1+h) – f(-1) lim h (If the limit does not exist, enter "DNE".) Limit…

A: fx=8x2+3To find limh→0f-1+h-f-1 h

Q: t2 - 1 lim t→-2 t2 +3t-1

A: Given limit is limt→-2t2-1t2+3t-1.

Q: Use the e - 8 definition of the limit to establish a ô that proves lim (x – 1) = 2 x-2 O A) 3 B) 2e…

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Q: Evaluate the following limits. If the limit does not exist, write DNE. x² –16 b) lim Vx – 2 2 х* —…

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Q: Show that the limit does not exist: (y² + x – 1)² - lim (x,y)→(1,0) (x – 1)2 + y4

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Q: Let f(x, y) = 2*. Find fy(1, 2) using the limit definition.

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

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Q: 1. Use the graph to find the limits In (t + 2) f(t) = 2- -2 2 a) t→0 lim f(t) b) lim f(t) t→-1

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Q: 11. Show that the limit lim (z.y)→(0,0) r² + y4 does not exists.

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Q: Use the following graph to find limits(Enter DNE if limit does not exist). Graph of f(r) -10-9 –8 –7…

A: Given, The graph of fx  We have to find the limits when x→-5x→-3x→0x→2

Q: Let f(x) = { 6 - x - x² if x ≤ 2 2x - 7 if x > 2 Calculate the following limits. Enter "DNE" if the…

A: On solving this we will get

Q: Use the following graph to find limits(Enter DNE if limit does not exist). Graph of f(r) -10 -9 -8…

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Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) 2x2…

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Q: Use the precise definition of a limit to prove the following limits. Specify a relationship between…

A: To Prove - limx→3 x2-7x+12x-3 = -1Cosidering LHS - limx→3 x2-7x+12x-3 = limx→3 x2-3xx-4x+12x-3limx→3…

Q: Find Ilim(x,y) → (0,0); x² + y² whether the limit exists or not

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Q: Evaluate the limit t3 – t lim t→1 t2 – 1

A: We have to find the given limit.

Q: Let f(x) = Vx – 6. f(7 + h) – f(7) - Then lim h→0 h If the limit does not exist enter DNE.

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Q: Evaluate the following limit: x3-ze?y lim (x,y,z)- (-1,0,4) 6x+2y-3z .A .B -5 12 .C 5 18

A: Given that  The limit is

Q: 2) Show that the limit exists : 3x3 ,3) lim (x.y.z)-(0,0,0) x2 +y² + z2

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Q: 8. Let f(x, y) be the function x3 + y3 xy? Show that the limit lim(9)→(0,0) f (x, y) does not exist…

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Q: 2. Determine the value of the following limit along all paths through the origin for which x + -2y.…

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Q: et –1 t2 – 3t + 5 lim t-0 t t2 – 1

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Q: Show that the following limit does not exist: (x – y²)2 lim (r,y) (0,0) ² + y4

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Q: Evaluate f(3 + h) – f(3) lim h-0 where f(x) = 4x + 2. If the limit does not exist enter DNE. Limit =

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Q: Evaluate the following limits: z² + 4x – 12 3. lim 1² – 2x 191 S y² +5 _ify-2 4. lim g (y) where,…

A: 3. limx→2x2+4x-12x2-2x4.  limy→-2g(y), where g(y)=y2+5if y<-23-3yif y≥-25.  limx→4z-2z-4

Q: if r =-1 A if z + -1 2. Is f(r) = continuous at r =-1? (Show your work using limits.)

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Q: Evaluate the limit using l'Hôpital's Rule. x3-64 lim X-4 X-4 а. 48 O b. 12 O c. 16 O d. 0

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