V-1- x + 2 if x < - 2 Let f(x) = 2 if x = 2 - 2x + 7 if x > -- 2 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = x → - 2 lim f(x) = x → -2+ lim f(x) = %3D x -2

Q: Find the limit V3x(x-1) lim→1 |x-1|

A: we have limx→1-3x(x-1)|x-1| this is 00 indeterminate term

Q: B. Find the value of the limit. 1. lim *+1)²(x-1) x1 x³+1 x²–4 2. lim x1 x2-3x+2 x²-4 3. lim x2 x-2

A:

Q: Find the limit. x+y-9 lim Vx+y - 3 (X.y)→ X+y#9

A: To solve the limit

Q: 5 if x - 3 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = I+…

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Q: lim x² ln x x-0*

A:

Q: Estimate the limit numerically. x² lim +14x+49 -7 x+7 O-7 Oto∞ O-1 00

A: Given limit is We will use the factorization method to evaluate the limit By using the result that…

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: Vx2 – 9 4. lim х-з х — 3 X→3

A: Given limx→3x2-9x-3

Q: Find the limit. lim 9. (x, y) 9) x+y-9 VX + y -3 X + y29 0. 3. No limit

A:

Q: B. Find the limit. Зх — 1 5. lim х-1/3 9х2-1 x3 - 1 6. lim х+1 х-1

A: As per our guidelines we are supposed to answer only 3 subparts

Q: 3 If lim f(x) = 3.5 and lim,-2+ f(x) = 6.5 the function has a double sided %3D x-2- limit or one…

A: A limit is the value that a function approaches as the input of that function approaches a certain…

Q: Determine the limit at infinity. 4 22) lim 9 - (5/x²) X→-0

A: step 2 complete solution

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. Evaluate the limit by using a change of variable. x* - 1 Vx – 2 а. lim 8 x - 8 d. lim Vx – 2 27…

A: According to the L' Hopital rule, if the limit of a rational function, f(x)=N(x)D(x) , is to be…

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

A:

Q: Find the limit. . lim 2x²-x-3 X-1 x+1 . lim 2+h-vZ x-5 E lim x-5+ x2-25 . lim o. f (x) = fx³ +3 lx -…

A:

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: -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: 3x+2 Find the limit as x --> lim –6x–6 00 O - 1/2 O 1 O - 1/3

A:

Q: 6. Calculate limit: lim tg x X→0 2-V4+3x

A: Here we have to calculate Limit =limx→0 tgx2-4+3x

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: Evaluate the limit. limx→2 e^x^2−e^4/ x^2 −2x

A:

Q: X- Zx +3x+2 lim

A: Solution of question as follows

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

A:

Q: 6 - x - x2 if x 4 Use a graph to determine the following limits. Enter DNE if the limit does not…

A:

Q: x2 – 3x 4 - - Evaluate the limit: lim x → - 1 5х + 5

A:

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) lim x→0− (6+1/x)

A: To find limx→ 0-6+1x

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

A:

Q: Find the limit. y 6- 5- 4 3- 2 1- 3-2 -1 -1 1\2 3 4 5 -2t limz-0 f (x)

A:

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

A:

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: Determine the infinite limit. lim 3 sec(x) x- (T/2)+ X 00 - 00

A: Given limx→π2+3xsecx, to find the limit

Q: 2. Find the limit of the function (if exists). If the limit does not exist, explain why. For…

A: (b).   limx→0 x2+a2-ax2 ;      a&gt;0

Q: Find the limits limx→0+x (ln x)2

A: Consider : limx→0+x(ln2x). Modify the limit function. limx→0+(ln2x)1x…

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: 3x + 2 aluate the limit of lim if it exists. x + 2 O limit does not exist

A:

Q: f(8+ h)-f(8) lim h-0 where f(x) = 2x + 5. If the limit does not exist enter DNE. Limit =

A:

Q: 4. Find the limit: lim X – 2 |리-2 +0

A: We have to find given 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: Find the limit. lim etan x→(3t/2)+ х

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Q: Find the limit. lim x--> infinity  e3x+5/4e3x+ex-7

A:

Q: (2) lahäi .. Find the value of Limit Below x² – 10x – 25 lim x-5 x2 – 4x – 5 -

A:

Q: V-2-x +4, 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 "n" for a limit which does not exist. lim…

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Q: Find the limit of the function along the path y = 2x X-1 lim (x.y)-(0,0) y -1

A: We have to find the limit of the function along the path

Q: Find the limit. lim etan x x-(9x/2)+

A: We have to find the given limit

Q: Find the limit. lim(v² + x = x) = lim( Vx2 + x – x

A:

Q: x³y Find the limit lim , if it exists. (x.y)-(0,0) x²+y2

A:

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

A: