1. lim(2x? – 5x + 3) x-3 2. lim(2x? – 7x – 9) x-2

Q: b) Solve the limits of the following expressions. i) lim *-1 x→3 x+3' ii) x²+6x+9 lim x→-3 x+3

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Q: Find the limits from the given graph of f(). -2-1 1 2 3 4 S lim f(x) T0-

A: The graph of the function fx is given as ,

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for 0. 18x (a) lim 5 4x 18r (b) lim…

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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

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Q: Q1/ Find the following 1. lim + 2 = 3 X00 X 2. lim(5x - 4 + )

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: Use the graph to solve for z.* := lim f(r) 3 3 f(x) 2. 2.

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Q: Consider the following function T² -7x-18 if x -2 Find lim [f(x)]*. I-2-

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Q: 2x² +3x+1 10.) lim x00 3x2 -5x+2

A: We can evaluate the limit as below

Q: Evaluate the following limits. If needed, enter 'INF' for o and '-INF for -0o. (a) 4+ 2x2 lim 2+ 9x…

A: We have to evaluate the limits (a)  limx→∞4+2x22+9x (b)  limx→-∞4+2x22+9x

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: Find the solution to the following by using the Rules for Limits of Function at Infinity to justiry…

A: Question is solved.

Q: find the limit of rational function (a) as x→00 and (b) as x→ -o. 3x7 + 5x? – 1 f(x) 6x3 7x + 3 -

A: (a) Given f(x)=3x7+5x2-16x3-7x+3 For x→∞…

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: c) = = 4x + 1. If the limit does not exist enter DNE. ] lim h→0 ƒ(6 + h) − ƒ(6) h

A: Topic:- calculus

Q: Find the limits of the Function x²+x lim x→0 x5+2x4+x3

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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: 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: If V5 – 2x? < f(x) < V5 – x? for -1 <x < 1, find lim,-o f(x).

A: Given  5-2x2 ≤ f(x) ≤ 5-x2 for  -1≤x≤1.

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

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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

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Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for – o. За3 8x? 5x | (а) lim 8 8x…

A: Solving

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: Vx-2 lim х+4 х-4

A: To evaluate: limx→4x-2x-4

Q: find the limit of rational function (a) as x→00 and (b) as x→ -o. 9x4 + x 2x4 + 5x² – x + 6 h(x)

A: Given h(x)=9x4+x2x4+5x2-x+6 a) To find limit of h(x) as x→∞ limx→∞h(x)=limx→∞9x4+x2x4+5x2-x+6…

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, where c and k are constants.

A: To evaluate: limx→2(1x-2-2x2-2x) Solution: Given ,limx→2(1x-2-2x2-2x) On simplifying further we get:…

Q: Evaluate the following limits. If needed, enter oo for o and -oo for – 0o. (a) lim (– 40æ² – 36x³) :…

A: Given(a)limx→∞(-40x2-36x3)replacing limit=-40(∞)2-36(∞)3 as we know power of infinite is…

Q: x3 – 9x + 10 .lim 3 x→2 x2 – 4 4 |

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Q: Determine the following limits. x? + lim 1x? - Vx* + 3x²2 (Hint: Multiply by 4 x* + 3x? x* + x* +…

A: Evaluate: limx→∞x2-x4+3x2

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: Inys 5. lim y→⁰⁰ y

A: To solve for the limits of the following function using L'hospital's rule.limy→∞ ln y5y

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for 00. /3+5x2 (a) lim 3+11a V3 +…

A: LetL=limx→∞ 3+5x23+11xDivide x on N and DL=limx→∞ 3x2+53x+11L=limx→∞ 3x2+5limx→∞…

Q: Q1/ Find the following limits. 1. lim x*+3x-4 2. lim x*- 16 x-1 2 X+2

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Q: 3. lim (4x2 – 3x + 3) x--1

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Q: Determine the limit of function of the following equations а) lim x? – 2xy + 3y? – 4x + 2y – 3)…

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

A: Given that

Q: 2x/y lim (x,v)(0,0) 5x* + 2y

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Q: lim (3x2 – 5x + 9) X-4

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

Q: What is the value of the limit of the given function below as "x" approaches 2?  f(x)=x^2

A: Our Aim is to tell the value of the expression given below:-limx→2 x2 -(i)

Q: Find the following limits: x²+y? lim (х,у)-(2,3) 3ху

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

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