Evaluate the limit. x2 – 2x + sinr lim

Q: Solve the limit below or show that it doesn't exist. lim (x,y)→(0,0) xª –- y²

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Q: Evaluate the limit, if it exists. (If a answer does not exist, enter DNE.) x2 lim 4x 3 x 3x2 2x- 3

A: Obtain the limit value as follows.

Q: Please show work.

A: Given,

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: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 2 lim Ax→0+ X + Ax Ax

A: The given expression is lim∆x→0+2x+∆x-2x∆x

Q: Find the limit lim (z + 7i)?. z→2-5i

A: Consider limz→2-5iz+7i2 = 2-5i+7i2= 2+2i2= (2)2+(2i)2+2(2)(2i)= 4+4i2+8i= 4+4(-1)+8i= 4-4+8i= 8i

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→∞  √(x+3x^2)/2x-1

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x → 5   x2 + x −…

A: The given expression is,

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: Find the limit. 1+x? lim arccos 1+ 2x2

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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: Find the limit. (If an answer does not exist, enter DNE.) 5x - 4 lim X 0 2x + 4

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Q: Find the limit. (If an answer does not exist, enter DNE x + 1 – 2 lim x→3 X - 3

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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.) 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.) 2 - x lim x-2 Vx + 2 – 2

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

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 6 - Vx lim x→36 36x – x

A: To find:limx→ 366-x36x-x2

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

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x to 0 (9x^2 - 6x / x)

A: We first factor the numerator

Q: Determine the limit algebraically, if it exists x3 + 12x2 – 5x lim 5x O -1 O 5 DNE

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 6 – Vx lim x→36 36x – x-

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

A: Explanation of the solution is given below...

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

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Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) 1 lim X→-8+ X + 8

A: Given query is to find the limit of the expression.

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.) x – 1 lim x- -0 x2 + 5

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

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Q: Evaluate the limit. (If an answer does not exist, enter DNE.) x1/2 + x – 4 lim x→9 x3/2 – 27

A: The given limit takes the indeterminate form 0/0 on putting the value X= 9. Therefore, we can use L…

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

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

A: Given: To find

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 an answer does not exist, enter DNE. (x² + 2x – 15). (x² – 9) lim x→3

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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. (If an answer does not exist, enter DNE.) lim x + V x2 + 8x

A: Given

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim xy4 (x, y) - (0, 0) x² +…

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Q: Find the limit, if it exists.

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

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Q: Evaluate the limit, if it esxists. (If an answer does not exist, enter DNE.). lim x°-4I+3 x>3 X-3

A: Factor the numerator.Factor 3 so that the sum of the factors is -4Factors are -3 and -1Write -4x as…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (4x + |x - 7|) X→7

A: The objective of the question is determine the limit.

Q: Find the limit lim (z + 7i)?. 2-2-5I

A: Consider limz→2-5iz+7i2 = 2-5i+7i2= 2+2i2= (2)2+(2i)2+2(2)(2i)= 4+4i2+8i= 4+4(-1)+8i= 4-4+8i= 8i

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) 9. lim x→o+ x² X

A: Follow the procedure given below

Q: x2 – 3x – 10 lim Зд — 10 I – 5

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Q: Evaluate the limit. x3 + x² + 9x + 5 lim 4 - 7x? 2 -00 Enter INF for o, -INF for -oo, or DNE if the…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→0  x6 cos(5/x)

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 4. lim (x2 X--3…

A: Given problem:-

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

A: The limits of the function will give the value of the function near the point. The limit does not…