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 exist. 2x + 5x - 33 lim x→3 x² - 9

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) lim (x3 −…

A: Given,

Q: Find the limit algebraically. ( f(-3 + h) – f(-3) lim h0 where f(x) = -3x2 + 2x + 9

A: Our objective is to find the limit algebraically.

Q: For the function graphed here, show that

A: The given graph of the function is,

Q: Evaluate the limit for the graph: lim f(x). x-1- a) 2 b) 0 с) — 2 d) –o -00

A: -2

Q: Find the indicated limit, if it exists. (If an answer does not exist, enter DNE.) 6x4 - 3x2 + 4 lim…

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Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) lim x→1 (4x − 10)

A: It is given that, limx→14x-10.

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 an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 9(x + Δx) + 7 − (x2…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x² – 6x +7 -x² + 6x – 11 if…

A:

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim t→5  t2 − 3t −…

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Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 9(x + Δx) + 7 − (x2…

A:

Q: (3) Evaluate the limit, if it exists. (h + 7)² – 49 h (a) lim h0 1² + 3x – 4 (b) lim 1² + x +12

A:

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: Determine a value of the constant a for which lim g(x) exists and state the value of the limit, if…

A: Given piecewise function is gx=x2-4x ; if x≤-1ax3-9 ; if x>-1

Q: Use limit notation to describe the unbounded behavior of the given function asx approaches oo and as…

A: We are given a function k(x) = 5x5-2x-5. We need to find the unbounded behaviour of k9x) when x…

Q: Use the equation for the function f to find and graph the function y = f -1(x). Then use the graph…

A: fx=x3-4 Let y=x3-4 Now to find inverse function, interchange x & y and then solve for y in terms…

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: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x³ – 64 lim…

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 9. lim x2 + X→-7-…

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Q: Find the limit. (If an answer does not exist, enter DNE.) x+ 5-6 X - 31 lim x→ 31

A: We need to solve limit.

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

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Q: find the limit or explain why it does not exist. (x + h)? – x2 lim h0 h

A: Definition used -      Limit of a function -        If substituting the value of limit in the…

Q: Find the limit (if it exists). If it does not exist, enter NONE. 12 - 8.r +8 -2 + 8x +8 if x > 8 if…

A: the given function is: f(x)=x2-8x+8              if x<8-x2+8x+8          if x≥8 we have to find…

Q: Evaluate the limit if it exists. x² + 2x – 8 (a) lim x – 2 x² – 2x – 8 (b) lim 2 x + 2 (c) lim 2X –…

A: As per the Bartleby guidelines, only first question answered. please repost remaining questions…

Q: Evaluate the Limit, if it exists x² - 4x lim x4 X (a) 3x - 4 1? - 9 lim 3 212 + 7t + 3 (b) x? - 4x…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE. lim (7.r – [[x]]) - I-4+

A: Given,           limx→4+ 7x-x

Q: lim V x + 2 – 4 x→14 X – 14

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 7(x + Δx) + 4 − (x2…

A: A limit tells us the value that a function approaches as that function input get closer and closer…

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: Calculate the limit algebraically. (If you need to use  or –, enter INFINITY or –INFINITY,…

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Q: definition showing all work for credit b.Write the equation of the tangent line to the curve above

A: Derivative: f(x)=7x-4x2 a)       h→0limf(x+h)-f(x)h=h→0lim7(x+h)-4(x+h)2-7x+4x2h

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

A: As per Bartleby answering guidelines if a questions has multiple sub parts then an expert is…

Q: Find the limit. (If the limit is infinite, enter 'oo' or '-co', as appropriate. If the limit does…

A:

Q: a. For the function graphed here, show that lim,→-1 8(x) # 2. b. Does lim,,-18(x) appear to exist?…

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x + Vx2 + 6x X -00

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Q: Find the limit. (If an answer does not exist, enter DNE.) [1/(8 + x)]- (1/8) lim X→0 X -1/64

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Q: Determine the limit by sketching an appropriate graph. 6) lim f(x), where f(x) = -2x - 5 x-4* for x…

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Q: lim -2)2 x-2 x2-4 3.)

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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: Given f (x) = -4x² + 2x – 5, find lim,-+00h (x), if possible. a) Find limit if h (x) f(2) b) Find…

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Q: a. For the function graphed here, show that lim,-1 8(x) # 2. b. Does lim,-1 g(x) appear to exist? If…

A: a.The  limit given is limx→-1gx≠2.  It is correct that the limit does not equal to 2 for x=-1.…

Q: Find the limit. (If an answer does not exist, enter DNE.) lim Δx→0  (x + Δx)2 − 2(x + Δx) + 4 − (x2…

A: Find the solution below

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

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Q: Inx 2. lim x-1x-1 1 0.9 0.99 0.999 1.001 1.01 1.1 f(x)

A: Find your answer below

Q: a. lim (2r – 6x + 5) b. lim (2x² + 4x + 1) с. lim ix² + 4

A: As per the company guidelines we can solve first three parts. I hope that the given solution will…

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: 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: V4+i- V4-1 3 (a) lim (b) lim ty9+t

A: This question is related to limit. Solve in step 2.

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 limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 16 lim…

A: