V1+h - 1 Hint: Set x = I +h, express h as a function of x, and rewrite as a limit as x → 1. Evaluate lim

Q: 2. (a) Determine the following limits if they exist. If they do not exist, clearly state so. i. lim…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Use your analytical skills to evaluate the limit. 1 3 3 a - lim a = b =

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Q: Find the limits. Write ∞ or -∞ where appropriate. lim(x/2 - 1/x)as x→ 0+

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Q: Evaluate the limit. (2 + h)³ – 8 lim h-0 h

A: To evaluate:limh→ 02+h3-8h

Q: n 1º, find the limit or explain why it does not exist. x? – 4x + 4 9. lim ³ + 5x² 14x b. as x→2 a.…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Evaluate the limit lim y approaches 5  1/y-1/5 divide by y-5

A: We have to evaluate the limit limy→5 1y-15y-5

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

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Q: x2 – 1 lim а—1 х — 1

A: We have  Limit exist as number and the number is 2.

Q: Use the Squeeze Theorem to find the following limit when b − |x − a| ≤ f(x) ≤ b + |x − a|. lim x->a…

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

A: A limit limx→afx exists if its both left-hand and right-hand limits are equal and finite. The…

Q: Decide whether limit exists. If a limit exists, estimate its value.

A: To find the given limits from the figure,

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

A: From the given problem: limx,y→0,0x2x2+3y2+3

Q: What does the limit notation lim f(x) = L mean? Xa"

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Q: Evaluate the limit if it exists. If not, determine whether the one-sided limits exist. For limits…

A: One-sided limit at a point is obtained by approaching the point from the left or right. Approaching…

Q: x + 4x – 45 - Evaluate the limit: lim x → - 9 x + 9

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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: Evaluate the limit 2 i 16 lim 2 n2

A: Use formula then apply limits

Q: x2 + 4x 45 - Evaluate the limit: lim x → - 9 x + 9

A: Given that, There is a limit expression, limx→-9x2+4x-45x+9 We have to find the answer of this…

Q: (x+h)? – 2(x+h) – 3-(x²-2x-3). lim 2. Use the limit definition to evaluate

A: Given that limh→0 x+h2-2x+h-3-x2-2x-3h. Compute the limit as follows.

Q: (- 9+ h) – 81 2. Evaluate the limit: lim h

A: We have to evaluate the limit  limh→0(-9+h)2 - 81h.

Q: Decide whether the limit exists. If it exists, find its value. Find lim f(x). x-/2 A) B) 1 C) Does…

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Q: Find the one-sided limit (if it exists).

A: We will make a table for the values of x on the left side of x=1 x y 0.9 -36.1 0.99 -396.01…

Q: Determine whether the limit exists. If it exists, find its value. lim x → 1+ f(x) 5 4 3 2 -1 Does…

A: Given, graph we need to calculate the value of limx→1+f(x) Here we need to calculate the value for…

Q: f(x) = 6, evaluate the following limits. If lim X→0 x2 (a) lim f(x) 1 (b) lim fx)

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Q: Evaluate the limit if it exists. If not, determine whether the one-sided limits exist. For limits…

A: Given: Th expression of limit as limt→9t-6t-3 To determine: The value of limit if exists.

Q: Find the limit L. Then use the &-8 definition to prove that the limit is L. a) lim (4x+5) b) lim]x-…

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Q: Evaluate the limit or explain why it does not exist t t- 2-0 √4+t-√4-t x³+1 lim X-1 X+1 Ix-21 lim…

A: Given that some limit problem and we solve this given problem by using general property of limit.…

Q: Evaluate the limit 1 1 15 lim x → 15 15

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Q: Evaluate the limit. (If you need to use -o or co, enter -INFINITY or INFINITY.) lim (r-c# -z 12 I…

A: To evaluate the limit limx→-∞x.e12x-x

Q: Evalaute this Limit

A: To find:

Q: Find the limits. Write ∞ or -∞ where appropriate.

A: Given limit is  As x approaches 0+ or 0- ,x2  always approaches 0+ . Therefore, Hence,

Q: Evaluate the limit |x – 1| lim x→1¯ (x+ 1)(x – 1) 00 The limit does not exist and is not equal to…

A: In the question we have to calculate the limit of following expression given.

Q: Evaluate the limits - im 1 lim x→-2 X

A: limit x→-2 1x3

Q: Find the limit L. Then use the ɛ-8 definition to prove that the limit is L. lim (x + 7) L =

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Q: Let (-8x2 + 5x | 3x2 – 5 for x 0. According to the definition of the derivative, to compute f'(0),…

A: Given query is to find derivative using definition.

Q: Evaluate the limit 1 1 - (3+y)? 2 9 lim

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

Q: Decide whether the limit exists. If it exists, find its value. Find lim f(x). f B) 1 C) Does not…

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Q: 6x + 81 – 9 - Evaluate the limit: lim x →0

A: =?

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: Consider the piecewise function: 2x+8, x3 Determine the value of each limit. If the limit D.N.E.,…

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Q: What is the sign of a if f (x) = ax³ +x +1 satisfies lim f(x) = o0? X -00 %3|

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Q: Evaluate the limit, if it exists.

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Q: Jse the new variable t = Vx to evaluate the limit. Enter the exact answer. x- Vi- 20 lim -25 Va – 5

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Q: Evaluate the limit algebraically: (x + h)³ – a3 lim h→0 h

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Q: Q1. Find each limit, if it exists. x2 – 16 (i) lim 54 (ii) lim- x-4 X4 X – 4

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Q: V4+i- V4-1 3 (a) lim (b) lim ty9+t

A: This question is related to limit. Solve in step 2.

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

A: Explanation of the answer is as follows

Q: Find the limit L. Then use the ɛ-8 definition to prove that the limit lim V6x x→0 L =

A: Here we have to find the limit L=limx→06x3

Q: Evaluate the limit: lim h→0 (−5+h)² - 25 h

A: