2 – x x2 if x < 5 Let f(x) 2x 1 if x > 5 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(æ) x →5- lim f (æ) x → 5+ lim x →5 f(x) :

Q: Find the limit of f(x) = , - 11 as x approaches oo and as x approaches - o. lim f(x) =| (Type a…

A: Given the function f(x)

Q: Show that the limit does not exist. (x + y)² lim (7,y)→(0,0) x² + y²

A: We have to check

Q: ( 10 – a x2 if 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x)…

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand side limit of the…

Q: Find a value for the constant "a" that will make the function f(x) continuous. f(x) = { ax- if xs2…

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Q: -1- x +3, if x -2 Calculate the following limits. Enter DNE if the limit does not exist. lim f(x) =…

A: Given : fx =-1-x + 3   if x&lt;-23                        if x=-22x+8                if x&gt;-2

Q: 2. Compute the following limits at infinity and give reasons for your answers. 1 a) lim b) lim 10 4x…

A: 2(g) Given limit is : limx→∞6x2-7x+14x3-7 To find the value of the limit.

Q: V-1- x + 2 if x -- 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

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Q: 1: Find the limit 6x°y5 lim (x,y)¬(0,0) x6 +y10

A: See the attachment

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

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Q: 5) Find the indicated limit if it exists. Vx+4 – 2 a) lim x→0 8x' + 27 b) lim x→-1.5 2x+ 3

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Q: Evaluate f(4+h) – f(4) lim h→0 h where f(x) = -5x – 1. If the limit does not exist enter DNE. Limit…

A: We have to find the limit.

Q: 3. Can f (x) approach a limit as x → c if f(c) is undefined? If so,

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Q: Find the limit lim (a,y) (-45,9) xy cos(x + 5y) (Enter 'DNE' if the limit does not exist)

A:

Q: 9) Find the limit, if it exists, or show that the limit does not exist: lim (x,y)→(0,0) xª + 3y4

A:

Q: Find the limit. lim x+v-1 (x, y)- Vx+y-1

A: The given limit is of 0/0 form. In this type of limit problems, we try to remove 0 from the…

Q: s*(2t-2)² dt (a) Find the limit (if exist): lim x 2х-1

A: Result 1 : If limx→af(x)g(x) = 00 , then by L hospital's rule limx→af(x)g(x)= limx→af'(x)g'(x)…

Q: 2 – x – x2 if x 3 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(æ)…

A: Given, fx=2-x-x2 if  x≤32x-7 if   x &gt;3 We have to calculate  limx→3-fx limx→3+fx limx→3fx

Q: 8 - x- x2 if x 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(æ)…

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Q: 3x3 – x2 5x - - Evaluate lim Answer as a fraction in simplest x¬00 (2x – 1) · (x² – 4) - form or DNE…

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Q: Q4)A) Find the following limits (for two only). x+1 1. limx→-1 x2-x-2 1-Vx 2. limx→1 1-x 2х 3.…

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Q: (2) ykbäi * .. Find the value of Limit Below Vx + 11 – 4 lim x→5 X - 5 3/4 O 2/3 O 7/5 O 1/8 O 7/3 O…

A: Given: limx→5x+11−4x−5

Q: Use the &-8 definition of e limit to prove lim+1 =2. x→5 5 nd the ɛ value when &=0.001.

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Q: 1 if x – 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x -…

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Q: -1– x + 5 if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

A: limx→-2-f(x)=6, limx→-2+f(x)=6,  and limx→-2f(x)=6

Q: Q4 (а) Evaluate the limit lim xy cos y if it exist. If not, show that the limit does not (x,y)¬(0,0)…

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Q: Evaluate the function f(x) = x / (√x + 1 − 1) at several x-values near 0 and use the results to…

A: To evaluate: limx→0xx+1-1 using value of function at several values of x near to 0. Solution: We…

Q: (4- x - x² if x ≤ 2 2x-7 if x > 2 Calculate the following limits. Enter "DNE" if the limit does not…

A:

Q: 8- x- x2 if x 3 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x)…

A:

Q: V-1- x + 5 if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand side limit of the…

Q: Evaluate f(4+ h) – f(4) lim h0 where f(x) =5x +7. If the limit does not exist enter DNE. Limit =

A: f(x)=5x+7

Q: 1. Evaluate the limit: ху — у lim (x, y) → (1, 2) xr - x+2xy – 2y

A: According to the guidelines In case of multiple questions we are only allowed to do the first…

Q: Q4)A) Find the following limits (for two only). x+1 1. limy--17-x-2 1-VE 2. limy-1 1-x 2x 3. lim--0…

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Q: Evaluate the following limits. If the limit does not exist, write DNE. x² –16 b) lim Vx – 2 2 х* —…

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Q: Find the limit, if it exists. x² ycosx x* + y² lim(x,y)¬(0,0)

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Q: - x – x2 if x 2 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(æ)…

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Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→0  x −…

A: We have to estimate the limit numerically if it exists.  a) limx→0(x-3) b) limx→0(x-1)

Q: (-3x)² +1 if x # 4 3x + 13 if x = 4 Calculate the following limits. Enter "DNE" if the limit does…

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Q: Use L’Hospital’s Rule to find the limit.lim x → ∞  e^2x − e^−2x / ln(x + 1)

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Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) if x 0…

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Q: §8 – x – x2 if x 5 Let f (x) = Calculate the following limits. Enter "DNE" if the limit does not…

A:

Q: Q1:- Find the limit for each of the following functions if is exist ? 1) lim|x – 3| x-3 sx + 2 ,…

A: We find limit of given function

Q: 2 — х — г? if x 5 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

A: Here we will find the given limits,

Q: 4x + 1 Let f(x) = x-2 (b) Use the precise definition of the limit (i.e. M, 8) to prove that lim f(x)…

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Q: Let fa)=S(-5-x2 + 23x +19 f Xチー6 if X= -6 calculate the following limits. ENter DNE if the liniit…

A: l

Q: 1 Find the limit of lim x (1– e * ). X→ 00

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Q: -7x2 – 6x + 1 x<0 x 20 f(x) = 3 sin x Enter DNE if the limit does not exist. lim f(x) = 1 lim f(x) =…

A:

Q: Find the limits limx→e+(ln x)1/(x-e)

A: Limit:      x→e+limln x(x-e)=h→0limln (e+h)(e+h-e)

Q: Estimate the limit numerically if it exists. (If an answer does not exist, enter DNE.) lim x→+∞…

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Q: S2 – x – x² if x 2 - Use a graph to determine the following limits. Enter DNE if the limit does not…

A: The graph is shown below:

Q: Evaluate f(3 + h) – f(3) lim h-0 where f(x) = 4x + 2. If the limit does not exist enter DNE. Limit =

A: