Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 + x - 30 X - 5 lim X→5 -1 Additionol Matorials

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.) lim (-6 + h)-1 + 6-1 h-0

A: The solution is :

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

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 - 5x lim x5 x2- 4x -…

A: Given : limx→5x2-5xx2-4x-5

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim 5+ h)3 - 125 h h-0

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Q: x2 + 10x + 9 lim x→ -9 x2 + 8x – 9

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

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

A:

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

A: To evaluate the limit of the function given.

Q: Evaluate the limit, if it exists. (If a answer does not exist, enter DNE.) 3 x lim х-9 9х — х

A: To evaluate the limit

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: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 – 4x + 3 X - 5 - lim…

A: The given expression of the limit is: limx→5x2-4x+3x-5

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

A:

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.) 25 - t lim t- 25 5 - VE

A:

Q: Evaluate the limit if it exists, or show that it doesn't exist: (x + 3) e"! lim (2,1)(0,1) y+1

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (5 + h)³ – 125

A: Limits

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) х — 7 lim x- -00 x2 + 4

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 3 - Vx lim x-9 9x - x

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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.) x² + 5x lim x--5 x2 - 4x…

A: Given : limx→-5x2+5xx2-4x-45

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 + 10x + 9 lim x → -9…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 lim 3x 40 x5 x 6x5

A: Factor numerator and denominator first.

Q: Find the limit, If it exists. (If an answer does not exist, enter DNE.) x² + y² lim (x,y) → (0,0) x²…

A:

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. (If an answer does not exist, enter DNE.) x4 - 8x2 + x x3 – x + 9 lim…

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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: 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.) x² + 3x lim x-3 x² - 4x…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 1 1 - lim x 4 4

A: Let's find.

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

A:

Q: he limit, if it exists. (If an answer does not exist, enter DNE.) Need Help? x² - 8x lim x→-1 x2 –…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (-3 + h)2 - 9 h - 0…

A: Given limh→0-3+h2-9hWe have to evaluate the limitFormula used :-a-b2=a2-2ab+b2

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: 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. (If an answer does not exist, enter DNE.) 6 – |x|| lim 6 + x X→-6

A: Given limit ;

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) V 16 + h - 4 lim

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 + 4x lim x-5 x2 - x –…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 + 7x + 6 lim х— -6 х*…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim x → −9  x2 + 10x…

A: Consider the provided limit function,

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x + 5 lim X→-5 x + 125

A: given: a) limx→-5x+5x3+125b)  limt→03t-3t2+t

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE. lim 7etan(x) x- (1/2)+

A:

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: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (h – 6)2 – 36 h - h…

A: limh→0(h-6)2-36h=limh→0h2+36-12h-36h=limh→0h2-12hh=limh→0h(h-12)h=-12      Ans

Q: Evaluate the limit, if it exists.

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

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) x2 - 3x + 2 lim X → 2 X…

A: To determine: