3. lim (4x2 – 3x + 3) x--1

Q: Solve for the limits of the following functions. Show complete solution.

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Q: Evaluate the limit of the given functions. 3x² - 17x+ 20 25x + 36 1. 2. lim x+44x² t³-1 1 lim t-1…

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Q: Evaluate the following limits and justify each step. lim (2x? – 3x + 4) x→5

A: Consider a function fx Then, limit of a function fx at x=a is given by: limx→a fx=fa Now, assume…

Q: lim V3x² – 6 X-2

A: The given problem is,           limx→23x2-6 Here the function is continuous and defined at x=2, so…

Q: [0] lim 0→3+ 0

A:

Q: explain why the limits do not exist. x approaches 1  .... 1/[x -1]

A: Given: The limit expression limx→11x-1 To determine: The given limit exist or not.

Q: V5x+9-3 -lim x+0

A: To evaluate: limx→05x+9-3x which is in 00 form. So, the L'Hopital rule is to apply.

Q: lim (6x2 + 8x – 13) x--3

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Q: 3x -10x+7x-12 7. lim x--1 x-2

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Q: Q2) Solve the following limits. 5x+4-2 A) lim X-0 5x+8x? B) lim x-0 3x-16 x2

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Q: (x + 3)² lim – 9 = 3 2x

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Q: Find the limits, if it exists. lim x → ∞ (13)/(14+e^(8x))

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Q: Find the limits lim 1 as 2 – 4 а. х— 2+ b. х— 2 с. х— -2+ d. x→-2

A: Given, lim1x2-4 (a) x→2+→2+h, h→0 limh→01h2+4+4h-4 limh→01h(h+4)→∞ (b) x→2-→2-h limh→01h2+4-4h-4→∞

Q: Find lim h→0 f(4+h)−f(4)/h iff(x)= |−5x−8.|

A: Explained below

Q: Find each of the following limits: x² + 7x (a) limz→-7 49 – x² ' 7x3 + 25x² – 9x + 105 (3x + 1)²(2x…

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Q: 2x+3y lim (ху)- (2,-1) 4х- Зу

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Q: Q3) Guess the value of the following limits: 2-3x+2 1. lim X-2 x-2 2. lim+2x=2-x-1 -0 -2x-1-2 3. lim…

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Q: Vx+5-3 lim X→4 х—4

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Q: find the limit of rational function (a) as x→0 and (b) as x→ -o. 5x8 – 2x3 + 9 h(x) 3 + x – 4x5

A: [a]limx→∞5x8−2x3+9−4x5+x+3 Therefore, limx→∞5x8−2x3+9−4x5+x+3=∞

Q: 2x 2-3х-9 lim x-8 4x2+29

A:

Q: What is the limit when x is approaching negative infinity when the function is (8x+2) / (4x-5)

A: Given

Q: 4x-5 1. lim x-3 5x+1 3x2-8x-16 2. lim x-4 2x2-9x+4

A:

Q: Find the indicated one-sided limits, if they exist.

A: Find the indicated one-sided limits, if they exist.     fx=-x+6 ,   if x≤05x+5  ,   if x>0

Q: Find the limits of the functions lim メ>- (6lim x 2. xペー 2x+4

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Q: Find the limits of the Function 2 (x + h)² – x² lim h→0 h

A: We can solve this using the L'Hospital rule. And also from expanding equation we can solve easily.

Q: Find the following limits : 2x-2 - 3x-3 2) lim x0 x-4 + 4x-2

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Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) f(x) =…

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Q: Evaluate the following limits. If needed, enter INF for ∞ and MINF for –∞. (a) -7t – 9 lim /t² + 4t…

A: Given limits: limt→∞-7t-9t2+4t+5 limt→-∞-7t-9t2+4t+5 The objective is to evaluate the limits.

Q: find the limit of x^2/1-4x^2 as x approaches infinity

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Q: Evaluate the following limits. If needed, enter oo for o and oo for V3 + 9x2 (a) lim 5 + 6x 3+ 9x2…

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Q: Find the following limit: x3 – 14x2 + 42x – 20 lim x → 10 10 - Answer:

A: Question based on limits of Indeterminate form 0/0.

Q: x3 – 9x + 10 .lim 3 x→2 x2 – 4 4 |

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Q: Find the Limit 2 - V? 3b. lim 1-2 r + 2 - Va? + 4x + 4

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Q: Find the limits 2.1 2x + 3 lim Xo Sx + 7

A: To evaluate the limit: limx→∞2x+35x+7 Solution: limx→∞2x+35x+7 On simplifying further we get:…

Q: Find the limits 2 lim x0* 3x'/3

A: Given: limx→0+23x13  ……1

Q: Use the new variable t = 64 +h to evaluate the limit. Enter the exact answer. V64+h-8 lim %D h

A: We can evaluate the given limit by substituting,  t=64+h  t2=64+hh=t2-64=(t-8)(t+8) Also, as h→0 we…

Q: lyfical of the itemrs need to be factored or rationalied for the limits to exist) - 1. lim (x - 2r)…

A: given,        3.  limx→-4x+42x2-164.  limx→-33x2+2x-1x2+3x+2

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for –∞. 13x -- (a) lim ェ→ T0 11…

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Q: V1+3x-1 lim Answer: 1 %3D

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Q: What is the limit as x approaches positive and negative infinity?g(x) = (10x^5 + x^4 + 31)/x^6

A: We need to find the limit as x approaches positive and negative infinity for the function given…

Q: Evaluate the following limits. If needed, enter oo for o and oo for - V3 + 8x2 (a) lim 7 + 11x V3 +…

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Q: Evaluate the following limits. If needed, enter oo for oo and -oo for – 0. V5 + 6x2 (a) lim 3+ 10x…

A: Use the substitution and then simplify the limit.

Q: Find the limit of f(x) = 9x+9/8x+8     as x approaches infinity and as x approaches negative…

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Q: Evaluate the following limits and give the equation for any horizontal asymptote (if there are none,…

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Q: 3x-2x+1 5. lim x-1 x+1

A: The objective of the question is determine the limits of the given functions.

Q: 2x/y lim (x,y)>(0,0) 5x² +2y

A: Let L is the value of Given Limit.

Q: (x+2)(x² – v²) lim (x.5)(L1) /x² – y² +1-1 (x,9)(11)

A: The solution of given problem is followed by

Q: Find the following limit: x3 – 14x? + 42x – 20 lim x → 10 x – 10 Answer:

A: Given that

Q: Find the limit of f(x) = 4x+8/7x+3 as x approaches infinity and as x approaches negative infinity.

A:

Q: 3r+ |エ lím ー0 7r -5|r

A: Given : limx→03x+x7x-5x