-4e2x – 5e-2x Evaluate lim algebraically. If the limit does not exist because the function has infinite behavior, xH00 10+e-3x +7e2x use limit notation to describe the infinite behavior.

Q: 3] [4M] Determine whether the limit exists. If so, find its value: Зху a) lim (x.y)-(0,0) 4x2 + 3y2

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Q: Find the limit algebraically. 2x lim 16 -x - 4 O - 16 O 16 O -8

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Q: Find the limit. lim (V-5x + 19 + 7) X-2

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Q: Evaluate the limit algebraically. 6x²-3x + 3 x-7 lim I →→2

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Q: Evaluate the limit, if it exists. t2 -9 a) lim;→-3 2t2+7t+3

A: As per our guidelines we are supposed to answer only one question i.e. the first question. For the…

Q: Hello. I keep getting this one wrong. I multiply by the conjugate of the numerator, but I think my…

A: Given limit is

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim X-6 x² – 8x + 15 x -…

A: limx->6x2-8x+15x-6 When x is replaced by 6 the denominator becomes 0 So its not possible to plug…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) t2 - 49 lim t -7 2t2 +…

A: Given; Limt-(-7)(t2-49)/(2t2+15t+7).

Q: Find the limit if it exists. a. lim -) x→-00 5x3+1 b. lim х-0о 10х3-Зx2+7 5x2+2 С. lim x→∞ Vx2+3

A: Limits of function can be found by simplifying the function and substituting values for x as given…

Q: Evaluate the limit. lim I->0 V1+ 7x -1

A: Using limit,

Q: Find the limit, if it exists. lim5-6 07 does not exist

A: We first factor the numerator

Q: Find the limit. (If an answer does not exist, enter DNE.) Vx + 9 – 9 x - 72 lim x-72

A: Please refer the attached image for complete solution.

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

A: Given data:   *The function f(x) is f(x)=x+2/2, when x<3. *The function f(x) is f(x)=12-2x/3,…

Q: Find the limit. (If an answer does not exist, enter DNE.) lim x → 3 x2 − 8x + 12 x − 3

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Q: Find the limits in Exercise

A: Since you have posted a question with multiple subparts we will solve the first three for you.…

Q: Evaluate the limit, If it exists. (If an answer does not exist, enter DNE.) x2 - 8x lim X-1 x - 7x -…

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Q: Find the limit. (If an answer does not exist, enter DNE.) Vx + 9 – 9 lim X-72 x - 72

A: limx→72 x+9-9x-72=limx→72 x+9-9x-72*x+9+9x+9+9(rationalizing numerator)limx→72 x+9-9x-72=limx→72…

Q: 1.5 Find the limit of the function, lim(x³ + 5x² – 7x + 1). x-2

A: Given,           limx→2x3+5x2-7x+1

Q: x2+3x-1 16. Use L'Hôpital's Rule to evaluate the limit lim Write o if the limit is infinite.

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Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x³ – 64 lim…

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 9. lim x2 + X→-7-…

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Q: Find the limit, if it exists. 1 lim x-1 x-1 Select one: A. 4 B. Does not exist C.2 D.0

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Q: Find the limit, if it exists. lim x4-1 X-1 х-1 Select one: А.О B. Does not exist С. 2 D. 4

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Q: Evaluate the limit lim, 5 a. 2 b. 0 C -1 x d. I

A: Given: limx→5 x+11x-1

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (-5+ h)² - 25 h → 0

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

Q: Evaluate the Limit, if it exists x² - 4x lim x4 X (a) 3x - 4 1? - 9 lim 3 212 + 7t + 3 (b) x? - 4x…

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Q: Find the limit analytically. +r-6 1. ) =-6x +8 Find a lim (x) b. lim Jim fx) d C. lim, f(x)

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Q: Find the limit. (If an answer does not exist, enter DNE.) (x2 + 6x - 16) lim (x² – 4) x2 Need Help?…

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x4 - 8x2 + x x3 – x + 9 lim…

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Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x² - - 81…

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Q: Find the limits algebraically: (a) lim vx2 + 2x – 3 x-3

A: Find the limit of the given expression. Given function is continuous at x=3. So we can apply the…

Q: Find the limit of the function lim_4-√x²+7 X - 3

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Q: Find the limit. (If you need to use o or -o, enter INFINITY or -INFINITY, respectively.) 9r3 +5 lim…

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Q: Find the limit: VI - 15 lim エ→225 T - 225

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) X - 8 lim x - -00 + 6 Find…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim - 8x + 15 x- 3 x-3

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

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Q: x-2 51. lim x-1x-1

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Q: Find the limit. (If an answer does not exist, enter DNE.) 7(x+Ax)- 7x lim Ax-0 Ax

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Q: x3+64 is: 3- the limit of this function lim_ -4 2x²+6x-8 30 b)- 24 26 c)- 5 5

A: Topic = Limits

Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→−3  3x2 + 3/X

A: Given, limx→-33x2+3x Use L'hospital rule to find the existence of limit

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 + 6x + 9 lim X→-3 x4…

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Q: find the limit or explain why it does not exist

A: a. Given that limx→0 x2+xx5+2x4+x3. Compute the limit as follows. limx→0 x2+xx5+2x4+x3=00  I.F Apply…

Q: Determine the infinite limit. a) lim 1-3- (x – 3)5 b) х — 1 lim x²(x + 2) c) x² – 2x lim a-2- x² –…

A: a Given limx→3−xx−35. Use definition of limit…

Q: Find the limit. 421 (a) lim 7+ 17 (b) lim x-0 X 3

A: Topic = Limits

Q: Decide if the limit exists. If it exists, find it. x²-25 a. lim b. lim X-5 x+5 x²-36 x-5 x-5

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) X - 3 lim X3 x2 - 6x +9

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Q: find the limit, if they exist.lim (1/x)-(1/4)/ x-4x-> 4

A: To evaluate the limit of the given function as x tends to 4

Q: x→-2 -32 Prove the statement using the ɛ, § definition of a limit.

A: Explanation of the answer is as follows