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

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 |r+2| lim,-2-(x + 5) 2 x+2

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Q: Find the limit. lim (V-5x + 19 + 7) X-2

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

A: →When limit is of the form 00or ∞∞ (Indeterminate form)then L Hospital's Rule is used , In L…

Q: Find the limit limit x tends to 2 (-x2+5x-2)

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

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Q: Find the limit. 3 lim x-6 5x + 2

A: The given expression is limx→635x+2. We have to find the limit.

Q: Find the limit L.

A: We have to find the limit L: limx→4x+2 This is determinate form of the limit so we need to put limit…

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

A: Factories the denominator and cancel out the common terms and put the limit .

Q: Find the limit (if it exists). |x+7-3 lim x → 2 x- 2 а. 6 b. 1

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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: Q8. Find the indicated limit: 2x +16x – 28 a) Lim = 2x +8 4x +x- 30 b) Lim x--3 x+ 3

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Q: Find the limit.

A: Given  The limit is limx→02+x-2x.

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: Find the one-sided limit

A: Given: limx→2+ xx-2 To Find: To evaluate the given limit.

Q: For the function f whose graph is given, determine the limit. Find lim f(x). x+-1 -2 O -1 O does not…

A: Limit of function at any point x = a exists only when   So the graph need not be continuous for…

Q: Find the limit. 3x + 5 lim x→0 x - 4

A: Find the limit  limx→∞3x+5x-4

Q: x² + x lim * + 2x + x³

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Q: Use the given graph to find the indicated limit. 6) fx) -4 -3 -2 1 3 4 -2+ -3 Find lim f(x).

A: Explanation of the answer is as follows

Q: Determine the limit by sketching an appropriate graph. for x <4 S-3x - 4 8) lim f(x), where f(x) = {…

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Q: Use the graph of f to find the indicated limit and function value: y 4- 4-3-2- 234 a. lim f(x) b.…

A: By given graph

Q: I. Determine the limit of the function, f(x) = 2x – 5, given the graph. 1. lim(2x – 5) = , X2 2.…

A: Given graph of the linear function f(x) = 2x - 5 is as follows:

Q: lim 1-3メ) 2. X->

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Q: Find the limit of the function 2x-1 ists): lim 2r-x x0.5

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Q: Find the limit of the function lim x² 3x +2 X-1 X-A

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Q: V4+x-2 lim

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Q: Find the limit L.

A: limx→23x+2

Q: Find the limit if it exists. Vx - 5 lim X х- 25 X 25

A: Find the following limit

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

A: We determine the limit of a function at a given point using the graph.

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x² - - 81…

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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 of the function lim_4-√x²+7 X - 3

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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: Find the indicated limit. 4/x x/ lim

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Q: -2-1 1 2 3 4 5 -2+

A: We have to find the limit limx→4fx

Q: Next Evaluate the limit: 2x + 12 lim I+ -6 x2 36 -

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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: 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 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: Use the graph to find the limit (if it exists). 10 lim f(x), where f(x) = (8 – x, x + -4 5 x = -4…

A: Given :lim x→-4f(x) 8-x,x≠-45x=-4

Q: Find the limit of the function algebraically. x2 + 2x lim

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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: Find lim f(x) for the given piecewise function. 2x +3 f(x) = { 5 -*+18 if x > 6 if x < 6 %3D if x =…

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Q: Calculate the limit value: x² – x – 6 lim x--2 x + 2 Select one: O a. 00 b. 0 O C.-5 d. -3

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Q: Q:: Find the limit for the following functions: - VI-2 1- lim4 X-4 x-4 2- lim 2r-3)(vI-1) X-1…

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Q: Find the limit. 7) lim x-5' x - 25 A)1 B) 0 C) -

A: We can solve this problem using the concept of limit.

Q: 6x lim С. x→-1- \x+1 х+3

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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: Determine the limit graphically, if it exists. lim f(x)= x-1+ -5 4/3 -2 -1 -1+ 1 2 3 -4, 4 -2+

A: For the graph given in figure, LHL=limx→a-f(x)=m and RHL=limx→a+f(x)=l Here from the graph, when x…

Q: V1 + 4x6 2 - x lim X -00 3.

A:

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.