Evaluate the limit of the following algebraic functions. x*+3x3-x²+x+4 2. Lim X--1 x+1

Q: Q3: Find the limit for the following functions: - 4 1- lim(- x→2 x-2 - x2 -4 2- lim(x – Vx2 + x) x-1

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Q: Find the limit of the following 2x+1 2x – 3 lim 2x + 5

A: We have to find the value of limit which is given as: limx→∞2x-32x+52x+1 The form of given limit is…

Q: Find the indicated limit, if it exists x³ + 343 lim x + + ∞ x – 7x + 49

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Q: Evaluate the limit A. ƒ(x) = 5x + 2 at x = 3 x²-9 B. f(x) at x = 3 x-3

A: A. f(x)=5x+2B. f(x)=x2-9x-3

Q: Find the limit for the following function, (2 + h)-1 – 2-1 lim h-0 h

A: We use to solve this limit by simplification/factorization method

Q: Evaluate the limit of 6/x^2 as x approaches 0

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Q: Evaluate this limit for the given value of x and function ƒ. ƒ(x) = (x)^1/2 , x = 7

A: fx=x12   at x=7

Q: Evaluate the limit of x approches 0 on the function (2e^(9x)-2)/(7x)

A: The given limit of the function to be evaluated is,

Q: Evaluate the limit, if it exists Vx² + 9 – 5 30. lim x→-4 x + 4

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Q: Determine the limit by sketching an appropriate graph. - 5x - 4 for x<2 lim f(x), where f(x) = . 4x…

A: The limit in the question have asked for x-&gt;2+ which means greater than 2.

Q: Find the limit of the following. (x+ /x? x< +9x – 4 lim X→ - 00

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Q: Find lim f(x) for the given piecewise function. x-4 2x +2 if x 4 If the limit does not exist, enter…

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Q: 2x2-х+3 3) lim x→-1 3x² + 5x+ 2

A: To Find: Limit of given function

Q: Evaluate the following limits. If needed, enter 'INF' for ∞ and '-INF' for -x (a) (4 – x)(8+ 3x) lim…

A: topic - limits

Q: Q: Find the limit for the following functions: - 1- lim -2 X-4 x-4 (2x-3)(-1) 2x²+x-3 2- lim X-1

A: Please see the explanation below

Q: For which of the following functions does the limit as x → 2 exist?

A: Given: 1.limx→2x-2x-22.limx→2sinx3.limx→2x2-4x-24.limx→2x2+16x-225.limx→2x2+x2x-16.limx→2tanπx4

Q: Q;: Find the limit for the following functions: - 1- lim -2 X-4 x-4 x²-2 2- lim-3 X-1 Vx-3

A: The limit if the given functions are required to find out. limx→4x-2x-4 limx→1x2-2x - 3

Q: Write a simpler function that agrees with the given function for all but one point. Then, find the…

A:

Q: Calculate the value of the following limits algebraically, (if they 2x-1 a) lim x+1 X² 2x²-9x-5 b)…

A: Topic:- application of calculus

Q: Evaluate the limit of the following algebraic functions. x4+3x3-x2+ x+4 2. Lim X- 1 х-3

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Q: Find the following limit: 2x –x+3 lim 3.x +5

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

Q: Given the following piecewise function, evaluate lim f(x). x 17 -2x² - 2x f(x) 3x - 2 x² + 3 = if if…

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Q: Find the limit, if it exists. (I |x + 2| lim x--2 5x + 10

A: Given, The limit limx→-2x+25x+10  We have to find the limit.

Q: Determine the limit value of each of the following functions 11. lim 5(3x + 2) x →-1 12. lim * x→ 4…

A: Tp evaluate the given limits.

Q: Find the limits of the following functions: a) lim 2x + |x – 3| x→3 Vx2+9–5 b) lim x→-4 x+4

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Q: Evaluate the limit of the given functions. 3x17x+ 20 lim. x44x² 25x+36 1. 2. lim t3 - 1 고 t-it-1

A: "According to the guidelines issued by the company we are supposed to answer only first three…

Q: x3 – 9x + 10 .lim 3 x→2 x2 – 4 4 |

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Q: Find the limit of the following functions through the numerical method by completing their…

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Q: Find the following limit. Answer as a fraction or integer (no decimals.) x² x +9x-22 x²-4 lim X-2 -

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Q: V3x2+4 d. lim X-00 x2-7x+12

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Q: Consider the piecewise function defined by Sx² + 5 f(x) 3x + 1 if x 2 2. if x < 2 Find each of the…

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Q: 6) Use the graph of f to find the indicated limit and function value: y 3- 1-3-2-1 -2-

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Q: Find the limit for the following functions: - 1- lim 4 x-2 x² -

A: Just simplify the given expression and cancel out the common terms from numerator and denominator…

Q: Calculate the value of the following limits algebraically, (if they exist): 2x²-3x-9 a) lim x-3 x-3…

A:

Q: x2 - 3x – 10 lim x-6 x – 2 lim x-9 x – 4 x- 5

A: Given, The limits  limx→6x2-3x-10x-5 limx→6x-2x-4 We have to find the limit using limit laws.

Q: If the limit of a function f at x-3 equals -4, then which of the following are true?

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Q: Calculate the limit algebraically. x² – 12x +35 lim x2 - 5x →5 O -0.4 O-2 -2.4 O 10

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Q: Q2/ Find the limit of the following function: 3x2-x 1. limx→0 2x2+7x 2+3x 2. limx→∞ 7x2-5°

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Q: Find the limit, if it exists.

A: To evaluate the limit: limx→-∞x3-4x2+1. Evaluating the limit.…

Q: Find the limit of the following functions. 1. lim x+ 2 x-3 2. lim x? – 5 x-5 3. lim 2x3 - 9х + 10…

A: Explanation of the answer is as follows

Q: 2x/y lim (x,y)>(0,0) 5x² +2y

A: Let L is the value of Given Limit.

Q: Given the following piecewise function, evaluate lim f(x). (If the limit does not exist, enter Ø.)…

A: Given: fx=-2x2-x-3ifx&lt;-42x2+x+3if-4≤x≤-22x2-2ifx&gt;-2 We need to find limx→-4+fx

Q: Find the limit of the following functions: -1+√√x-4 1) lim X-5 x-5 2) lim f(x) where f(x) = x-2 x² +…

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Q: Find the following limits for the piecewise function: f(x) = { x + 1, +5, a) lim f(x) - x-3 b) lim…

A: (a) Given that, the function is fx=x+1                x≤2x+5          2&lt; x≤4. Obtain the value of…

Q: For each function, create your own table of values to evaluate the limit. x²-2x-35 3. f(x) : x+5…

A:

Q: Q3: Find the limit for the following functions: - Vx-2 1- lim x-4 x-4 (2x-3)(Vx-1) 2- lim x→1…

A: Apply d'hopital rule

Q: Evaluate the limit, if it exists.

A:

Q: Q2/ Find the limit of the following function: 3x-r 2+3x 2. limx→∞ 7x² -5'

A: The objective is to find the limits limx→∞2+3x7x2-5 Now, limx→∞2+3x7x2-5 represents ∞∞ form.

Q: Q;: Find the limit for the following functions: - 1- lim -2 X-4 x-4 (2x-3)(Vī-1) 2x²+x-3 2- lim X-1

A: Given that:                     1.limx→4x-2x-42.limx→1(2x-3)(x-1)2x2+x-3

Q: Find the following limits. If the limit is either oo or -o, say this. x3 – 7x – 4 (a) lim x² + 18

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.