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

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) Vx +5 - V5 lim x-0

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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: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) -1 lim (-6 +h)-¹ + 6-1…

A: L'Hospital rule:- If limx→0f(x)g(x) is of the form 00 then limx→0f(x)g(x)=limx→0f'(x)g'(x)Continue…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 1 lim 5 5 + x x--5

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Q: Find the limit, if it exists.

A: The limit limx→∞1xn is equal to 0 for n>0. Limit of a ratio of two functions can in some cases be…

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

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.). lim h → 0  √(4+h)…

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

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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.) 2 lim X→3+ x + 3

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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.) х - 8 lim X- -00 x2 + 9

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

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Q: Find the limit. Or, say it does not exist (DN E). x- 3 2) lim X-9 X-9

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 3 3 lim (2 ||

A: Given function is: limx→0+3x-3x For right hand limit x will convert into x.

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

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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.) x4 - 14y² lim (x, y) (0, 0)…

A: To find the limit of the function

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 3 lim t→0 - t2 + t

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

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

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) xy - 25 lim (x, y) → (5, 5)…

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

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Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) e2x lim - 1…

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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: 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. (If an answer does not exist, enter DNE.) x² + y² lim (x,y) → (0,0) x²…

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) +6 - уб lim (x, y)→ (0,0) x3…

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Q: Find the limit if it exists. g³ – xy? lim (a) (1,9)→(0,0) x² + y²

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 6 - xy lim (x, y) → (2, 1)…

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Q: Find the limit. (If an answer does not exist, enter DNE.) 4(x + Ax) - 4x Ax lim Ax-0 I

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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

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

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x – 1 lim x- -0 x2 + 5

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (x2 - 4x + 6, l-x? + 4x –…

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

A: We have to find limit

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

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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

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Q: Find the limit. (If the limit is infinite, enter 'co' or '-o', as appropriate. If the limit does not…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 5 5 t2 +t lim | t

A: This question can be solved by taking the LCM of the denominators

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

A: Given limt→01t-1t2+t        ⇒limt→01t-1tt+1∵taking 't' common         ⇒limt→0t+1-1tt+1∵ using…

Q: 3. Find the limit, if it exists, or show that the limits does not exist. d) lim (1,y)¬(0,0) xª + y²°

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

A: The given limit is lim(x,y)→(0,0)xyx2+y2. Substitute x=rcosθ,y=rsinθ in the above equation.…

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

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (x2 – 4x + 6, 1-x² + 4x –…

A: Here we find limx→7fx       where fx=-x2+4x-2, x≥7x2-4x+6  x <7if it exist