(2 - x - x2 if a < 2 { Let f(x) : 2x - 9 if r > 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x2- lim f(x) = %3D x2+ lim f(x) =

Q: Q.3 Find the following limits: x+3 3.1 lim→-3 x2+4x+3 x² +4x+3 x+2 3.2 limx-2 Jx² +5-3 u-1 3.3 lim-1…

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

Q: Find the limit, if it exists.

A: Here given as

Q: find the limit of g(x) as x approaches the indicated value.

A: ltx→-25-x2gx=0As x tends to -2 denominator tends to 1 .    gx≠0 . gx&gt;0

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: 2. Find the limits. limx→-1 sin(x² + 3x + 2) x³ + 1 M

A:

Q: x2 + 0x – 4 lim x-2 x - 2 Enter I for oo, -l for -co, and DNE if the limit does not exist.

A:

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

A:

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.…

A:

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

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Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) S-x+7…

A:

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: evauluate the limit lim x→0 (sin2 (3x))/ x2

A:

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

A:

Q: 1-cos 2x lim X→0 x2

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

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

A:

Q: (-5-x)²+2 if x #-6 Let f(x) = 2x + 14 if x = -6 Calculate the following limits. Enter "DNE" if the…

A: Given  f(x) = -5-x2+2if  x≠-62x+14if  x=-6

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: (4-x-x² if x ≤1 if x > 1 2x 5 Calculate the following limits. Enter "DNE" if the limit does not…

A:

Q: (4) Find the indicated limits, if they exist: Зх—12 (a) lim→4Jx-2 x²+3x-4 (b) lim→-4 +4x x²+4x 3 cos…

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

A:

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…

A:

Q: Let ƒ(x) = (3x - 1)/x. Make tables of values of ƒ at values of x that approach c = 0 from above and…

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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…

A:

Q: A For the limit lim (x-3x + 4) = 6 illustrate Definition 2 by finding values of d that correspond to…

A: For the limit: limx→2(x3-3x+4)=6, the function is f(x)=x3-3x+4. Now, consider ε=0.2, we have the…

Q: Find the limit: lim, 0+ x(ln x)²

A: The given expression is: limx→0+x(ln x)2 Which is in 0×∞ form. So, convert it into ∞∞ form.…

Q: Find the limit analytically: 2-4x lim 40 5+3x x? - 2.x -15 lim x 5 2. 3. Find dy/dx of:

A: A number M is said to be the limit of a function f(x) at x=a if for any arbitrarily chosen positive…

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: 10 – x – x2 if x 4 - Calculate the following limits. Enter "DNE" if the limit does not exist. lim…

A: Given that fx=10-x-x2if x≤42x-5ifx&gt;4   (1) Find limx→4-fx Left hand limit: For x&lt;4 ,…

Q: Ifx* sf(x) sx? for x in [-1,1] and x s f(x) x* for x 1, at what points c do you automatically know…

A:

Q: Evaluate the limit x2 + 0x – 25 lim x - 5 x-5 Enter I for co, -I for -oo0, and DNE if the limit does…

A: we have to evaluate the following limit

Q: 7 x? 4x + 10 if -1 2 if a < -1 | If f (x) = I-1 | - exists. Enter DNE if the limit does not exist.

A: Here we have to find      limx--&gt;-1 f(x) .

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 lim,0 sin (-:). 6 Enter I for o, -I for -o, and DNE if the limit does not exist.

A:

Q: Find the limit, if it exists.

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Q: 9. Find the limit, if it exists. (If an answer does not exist, enter DNE.) Vx²+x a) lim X--00 -3x

A: topic- limits

Q: V-2-x +4, if x -3 Calculate the following limits. Enter DNE if the limit does not exist. lim f(x) =…

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Q: Find the limit. lim X→- 47 Vx+ 15 cos (x+ 4x)

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Q: 1 11 lim X- 1 x2 + 9x – 10 Give your answer in exact form. If the limit does not exist, enter DNE.

A:

Q: Suppose lim g(x) = 4, lim f(x) = 0, lim h(x) = -5. %3D Xa Xa Find following limits if they exist.…

A: It is given that,  limx→ag(x)=4,  limx→af(x)=0,  limx→ah(x)=-5 we have to solve, 4) limx→ag(x)f(x)5)…

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:

Q: 6 - x - x² if x ≤ 1 if x > 1 2x - 9 Calculate the following limits. Enter "DNE" if the limit does…

A: f(x)=  6-x-x2    if x≤1 2x-9         if  x&gt;1

Q: Find the limit. cos(x) – 1 +x² .2 lim 2x4

A: NOTE: Refresh your page if you can't see any equations. . apply L'Hopital's rule