2 I- T if a <3 Let f(#) 3. if > 3 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) lim f(x) lim f(x) I3

Q: x³ + y³ ху? limit depends on m, and therefore the limit Let f(x, y) = Set y = mx and show that the…

A: Limit is basic concept in calculus which shows the behavior of a function at particular point as…

Q: 4 x- x2 if x 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) =…

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

A: Given,            f(x) =-1-x + 3    if x&lt;-23,                        if x = -22x+8…

Q: I. Find the limit of the algebraic functions if it exists. Show your solution analytically. 1.…

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Q: What is the limit of limx→ sin x? 1/2 1 -1 10

A: Given

Q: Find the one-sided limit

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Q: Let f(x) lim I→ 6+ if x = Calculate the following limits. Enter "DNE" if the limit does not exist.…

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Q: 1. Calculate the limit for the given function and interval using left endpoints. Verify your answer…

A: Left hand limit Riemann sumLn = ∑i=1nfxi∆x        Where, ∆x = xn-x1n , where  xn = right hand bound…

Q: if x -1 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = lim z→-17…

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Q: 4 — х — х* if x 5 Use a graph to determine the following limits. Enter DNE if the limit does not…

A: Given function is, f(x)=4-x-x2, if x≤52x-3, if x&gt;5

Q: 8 - x2 if a 1 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) =…

A: Find limit by putting value

Q: 8 – x – x2 if æ 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x)…

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Q: 6 — х — а? if x 5 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x)…

A: our objective is to find thelimit.

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: Limit of a function f(x) exists at x=c, if the left-hand limit (L.H.L.) and right-hand limit…

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

A: Given that       f(x) = -6/(x+3)    if x&lt;-3                2x+8       if x&gt;-3

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: 10-x-x² if x 5 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) =…

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Q: x? + 4x – 21 - Calculate the indicated limit.lim If a limit does not exist then answer +o O, or DNE…

A: 1. L=limx→3x2+4x-21x2-7x+12  =limx→3(x-3)(x+7)(x-3)(x-4)  =limx→3x+7x-4  =3+73-4L=-10 OR by using L'…

Q: 8. if I – 3 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = エ}…

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider…

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

A: Given : fx=2-x-x2  if x≤22x-9       if x&gt;2 To calculate: limx→2-fx limx→2+fx limx→2fx

Q: Evaluate the limit. x2 – 5x + 4 lim I- 4 VI+I-2 lim I-3 1 lim x 2r Evaluate the limit using…

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

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Q: V-3 – x + 2 if x - 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

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Q: 2. Let f(x, y) Does the limit lim()(0,0) f(x, y) exist? Give a reason for your answer.

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Q: (2 - a - a2 if a 3 Calculate the following limits. Enter "DNE" if the limit does not exist. - lim…

A: Find right hand limit and left hand limit, then check these are equal or not.

Q: f(-4 + h) – f(-4) lim h-0 h where f(x) = 3x² +2. If the limit does not exist enter DNE.

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Q: 2x+3x e l'Hôpital's Rule to evaluate lim Then determine the limit using limit laws and commonly…

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Q: 9. if a – 5 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x…

A: For the limit to exist, it should be unique and finite both. That is, left hand limit must be equal…

Q: (x – 2)(x + 1) if x 2 Calculate the limit lim f(x). If the limit does not exist then give a x→2…

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Q: V-2 – x + 2, if x -3 Calculate the following limits. Enter DNE if the limit does not exist. lim…

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Q: 24. Find the limit using the L'Hospital's Rule. a) lim x+0 (e2k-1) Inx b) lim X+0o x

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Q: 1. Evaluate the limit. Do not use L'Hopital's Rule a. lim e7x+2 X→-00 b. lim tan(Ttx) 1 4

A: Just take the limit and calculate them.

Q: Find the limit. lim x+v - 4 (x, y) -(2, 2) J+y-2 Vx+y - 2 O 2 4 O No limit

A: our objective is to find the limit.

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

A: we will find the limit.

Q: lim h(x) = 0, lim f(x) = –4, lim g(x)= – 10. xa Xa Find following limits if they exist. Enter DNE if…

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Q: 1— х — (x lim = L x→0|1 – x – x Find the limit value L,

A: Note: There are two questions so please send other question separately.  Given: limx→01-x-xλ-x-x=L λ…

Q: QI:B/ Use l'Hôpital's rule to find the limits In (csc x) lim xn/2 (x - (7/2))?

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Q: 6- x- x2 if x 5 Use a graph to determine the following limits. Enter DNE if the limit does not…

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

Q: ArcTanx — х 1) lim x→0 х3 Тапx

A: We need to apply l'hopital rule which is described below.

Q: x² +1 Evaluate the limit of limx ( - ax – b) = 0 - x+1

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Q: x - iy Discuss the limit Lim X - iy y0

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Q: (−4 − x)² +5 if x ‡ − 5 Let f(x) 4x + 25 if x = -5 Calculate the following limits. Enter "DNE" if…

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Q: (- 2- z) + 3 if a + – 3 Let f(x) = 2x + 9 if x = – 3 Calculate the following limits. Enter "DNE" if…

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Q: 2 x-x² if x ≤ 2 - Let f(x) = 2x - 1 if x > 2 Calculate the following limits. Enter "DNE" if the…

A: Let fx=2-x-x2 if x≤22x-1 if x&gt;2To calculate the following limits. To enter "DNE" if the limit…

Q: if x – 5 Calculate the followirg limits. Enter "DNE" if the limit does not exist. lim %3D x → - 5…

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

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Q: xy cos y Q4 lim (x,y)-(0,0) 3x²+y (a) Evaluate the limit if it exist. If not, show that the limit…

A: To find the limit of a function in two variables and justify if it doesn't exist.

Q: (x – 2)(x+ 1) | if x 2 Calculate the limit lim f(x). If the limit does not exist then give a x→2…

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