The initial substitution of x = a yields the form . Simplify the function algebraically, or use a table or graph to determine the limit. If necessary, state that the limit does not exi: x + 3x - 504 lim x-21 x - 441 .. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x² OA. lim x-21 x - 441 + 3x - 504 45 (Type an integer or a simplified fraction.) 42 O B. The limit does not exist.

Q: For the function f whose graph is given, state the following. (If the limit is infinite, enter 'o'…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The initial substitution of x = a yields the form Simplify the function algebraically, or use a…

A: Given: limx→32x2+5x-33x2-9

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

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Q: find the limit of each function (a) as x→ ∞ and(b) as x→ -∞. (You may wish to visualize your answer…

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Q: Assign values of x using the three special functions, and to get the values of y using scientific…

A: 1. f(t)=sintt   t f(t) 1 0.84147 0.5 0.95885 0.1 0.99833 0.01 0.99998 0.001 0.99999…

Q: Find the following limits (a) by investigating values of the function near the x-value where the…

A: Given: limx→1x4+4x3-9x2+7x-3x-1 Part a: Now we find the function near the limit Now take the values,…

Q: a) X -2 lim (x2-6x + 2)

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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: given the attached function, find the following limit limh--&gt;0 (f(-1-h)-f(-1))/h -6 -3 -3/2 -3/4

A: Explanation: Given that,  Now find the f(-1-h) put x = -1-h                           Now find the…

Q: find the limit of each function (a) as x→ ∞ and(b) as x→ -∞. (You may wish to visualize your answer…

A: a)

Q: Find the limit. (If an answer does not exist, enter DNE.) Vx + 9 – 9 x - 72 lim x-72

A: Please refer the attached image for complete solution.

Q: Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not…

A: To find     lim x→∞ (2x+5/7x-1)

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  8(x + Δx) − 8x Δx

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

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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: Graph the following function and then find the specified limit. When necessary, state that the limit…

A: Given data: The expression for the given function is Gx=x2      x&lt;-2-x+2  x&gt;-2 The graph of…

Q: Divide numerator and denominator by the highest power of x in the denominator and proceed from…

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Q: Decide whether the limits exist. If a limit exists, find its value.

A: Limit exists at a point if both left-handed and right-handed limits exist and are equal.…

Q: V100-1000 lim y-10

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Q: Find the value of each of the following limits. If the limit does not exist, indicate if it is 0,…

A: a) limx→5x2+x-30x2-25b) limx→4-2x+3x-4

Q: Find the limits of the following functions, if the limit does not exist, show why

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Q: Create a table of values for the function and use the result to explain why the limit does not…

A: Given :  The function limx → 0 3xx2. To create a table of values for the function and to explain…

Q: Find the limit. (If an answer does not exist, enter DNE.) lim x- 4 x2 - 6x + 8 X - 4

A: We have to evaluate the limit of the given expression

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 indicated one-sided limit, if it exists. (If an answer does not exist, enter DNE.) lim (9Vx…

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Q: Find the indicated limit lim(3.x – V9x - x) 2 treat the expression as a fraction whose denominator…

A: To find the limit: limx→∞ 3x-9x2-x=limx→∞ 3x-9x2-x1 Rationalize the numerator first: Multiply…

Q: Divide numerator and denominator by the highest power of x in the denominator to find the limit at…

A: The limit of a function limx→Xfx=Y means that value of  function fx can be as close to Y by making…

Q: For the function f whose graph is shown, state the following. (If the limit is infinite, enter 'o'…

A: The limit of any function f(x) as x→c equals the value L i.e. limx →c f(x)=L If the following is…

Q: Find the limit of the function lim_4-√x²+7 X - 3

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Q: Divide the numerator and denominator by the highest power of x in the denominator and proceed from…

A: NOTE: Refresh your page if you can't see any equations. . factor out x2

Q: Divide numerator and denominator by the highest power of x in the denominator to find the limit.…

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Q: Graph the function and then find the specified limits. When necessary, state that the limit does not…

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Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→−3  3x2 + 3/X

A: Given, limx→-33x2+3x Use L'hospital rule to find the existence of limit

Q: Divide numerator and denominator by the highest power of x in thedenominator and proceed from there.…

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Q: Decide whether the limit exists. If it exists, find its value. fx) 3+ 2+ -2 -1 3 X -1+ -2- 1) lim…

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Q: Find the limits as x → 00 and as x → -0o. (If the limit is infinite, enter 'oo' or '-o', as…

A: To find the limits as x→∞ and as x→-∞. If the limit is infinite,to enter '∞' or '-∞', as…

Q: Calculate the limit algebraically. If the limit does not exist, say why. x - 1,000x lim x+0 2x +…

A: Given that: limx→∞x5-1000x42x5+10000

Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not…

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Q: Decide whether the limit exists. If it exists, find its value. 1) lim f(x) x-1 2

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Q: Divide the numerator and denominator by the highest power of x in the denominator to find the limit.

A: Part(a)The highest power of x appears in the denominator as x. Hence, let's divide the numerator and…

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: raph the following function and then find the specified limit. When​ necessary, state that the limit…

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Q: Evaluate the limit and justify each step by indicating the appropriate Limit Law(s). lim(14x³ – 3x?…

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Q: Decide whether the limit produces an indeterminate form, lim 2x t x

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Q: Find the limit if it exists. x²+5x+6 Lim,→-3 a+3

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Q: Given f(x)= 5x+1,Find lim (x +h)- f(x) h when x>--? h0

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

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Q: Evaluate the limit and justify each step by indicating the appropriate Limit Law(s)   lim x-&gt;1…

A: Continuous functions are the functions that are defined for all values of input over real numbers.