Is there a number a such that the following limit exists? (If an answer does not exist, enter DNE.) 3x2 + ax + a + 9 lim X--2 x² + x – 2 Find the value a. Evaluate the limit. DNE Enhanced Feedback :Please try again. In order for the limit of a quotient function whose denominator goes to zero to exist, the numerator zero.

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: Find the limit. (If an answer does not exist, enter DNE.) x2 - 3x + 2 lim x- 1 X - 1

A: Here we have to find limit of given question.

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

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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: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→0    3x2 − 2x x

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

A: limx->∞9-x3+x Divide the given expression by the highest denominator power So we divide each term…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) X + 4 lim X--4 X + 64

A: Given, limx→-4x+4x3+64

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) ** 14) x + 14 lim X 14 X -

A: Given that, limx→14x+14x-14 We have to find the solution of the question.

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, 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: If the limit does not exist, say why. (If the limit does exist, so state.) -The limit does not exist…

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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: Find the limit (if it exists). (If an answer does not exist, enter DNE.) |r – 3| lim I+3+ x - 3

A: The given limit is, limx→3+x-3x-3

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 3 lim 4 + 6A

A: We need to evaluate the value of given limit

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: Find the limit. Answer in either fraction or integer form. NO DECIMAL APPROXIMATIONS. If the limit…

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Q: Calculate the limit algebraically. If the limit does not exist, say why. x? + 8 lim x-2 x + 3x + 2…

A: we have to find the limit of the given expression

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, 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. (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 it does not, enter "DNE" (2a + 2)(x - 5) lim 22 +2

A: Given limit is in the indeterminate form, just use the L'Hospital's rule and easily find the…

Q: lim x + 1 - 2 x→3 х — 3

A: We need to find the limit if it exists

Q: Find the indicated one-sided limit, if it exists. (If an answer does not exist, enter DNE.) x + 7…

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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.) (x² - 4x +18, -x² + 4x -…

A: Put the condition for existence of a limit and cross check.

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE. Round your answer to four…

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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 an answer does not exist, enter DNE.) [1/(8 + x)]- (1/8) lim X→0 X -1/64

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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: Use the graph of the function f to find the limits at the indicated value of a, if the limit exists.…

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Q: Use the two-path test to prove that the following limit does not exist. 2x lim 4 2 (x,y)→(0,0) y +x…

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Q: b) Find the limit, if it exists, or show that the limit does not exist. 3x4 - 3y4 lim (x,y) (0,0)…

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

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

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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. (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 an answer does not exist, enter DNE.) (x + Ax)2 – 2(x + Ax) + 4 - (x2 - 2x + 4)…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x2 - 4x + 18, l-x2 + 4x -…

A: Detailed explanation mentioned below

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) -3 lim x-4-(x-4)²

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

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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: 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: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim h-3 (h2 + 4h + 3)

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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: 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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