lim f(x). V5-2x2

Q: (х-а) 2. lim Vx-Va X→a

A:

Q: lim Vx+3 メ4zx -3

A:

Q: lim as x approaches 4 from the right of 8-2x/|x2-x-12| a. 2  b.-2  c. -1  d. 4  e. infinity

A: The given expression is,

Q: a) lim -Vx+7 2-x x-2 b) lim x+1 Show your work

A:

Q: lim V9(x) Choose

A:

Q: lim (Vx² +1 – (x+ 1))

A:

Q: lim Vx -2 X-04 X-4

A: we use in this question rationalization.

Q: x² – 21x + 54 - lim x → 3 х — 3 - II

A: x2-21x+54=x2-18x-3x+54=x(x-18)-3(x-18)=(x-18)(x-3)

Q: V-x – 2 – V3 te lim x--5 -x - 5

A:

Q: x² - x-6 lim x-2 x2 +3x+2

A: L'Hospital Rule: If limx→af(x)g(x)=00      Indeterminant forThenlimx→af(x)g(x)=limx→addxf(x)ddxg(x)…

Q: lim x approaches -3  x + 3 /[x2 + 4x + 3]

A: Given: limx→-3x+3x2+4x+3 Apply the limits. limx→-3x+3x2+4x+3=-3+3-32+4(-3)+3=09-12+3=00 As, it…

Q: 4x- x2 5. lim 42-Vx x2 +12 - 4 |6.lim- x- 2 Final Final Answer. Answer:

A: Given:            limx→44x-x22-x Rationalize denominator           =4x-x22-x×2+x2+x=x4-x2+x4-x=x2+x…

Q: lim. Vx-1 х2-4) п-20+ \x2-4

A: To find the Value of

Q: V4 + x – 2 lim x→0

A: To evaluate the given limit

Q: V1+ 4x6 lim t→-o 2 – x³

A:

Q: Find the limit.

A: Evaluate: limx→-1 -2x3-x+5

Q: x-1 lim T→3 x2-4x+3

A: Topic:- Limit  Limit at X ---->3 is does not exist.

Q: lim f(x) = %3D x-8-

A: We can clearly see from the graph that, f(x) is discontinous at  x = -8  But, if we move slightly…

Q: Vx+4-Vx2+x+4 7. lim x-0

A: Explanation and solutions is given below....

Q: lim (Vx2 +2x-x) ズ→

A:

Q: e- lim x-3 x2-9 V3x-3 ,x + 3

A:

Q: lim (Vx - 1) 4 X. x→27

A:

Q: x2 -x-6 2. lim -2 x2 -2

A: The given limit expression is limx→-2x2-x-6x2-2.

Q: lim x---q (1 + 2f (x))

A: To evaluate the limit: limx→ q1+2fx

Q: डणि2X Lim 2. x²

A: We have to find the limit of given function.

Q: d- lim x+1 /V2x²+x+1

A: First take x common and then use l hospital's rule to find the answer.

Q: x-2 lim Jx-2

A: Find the limit limx→2x2-2x-2.

Q: V1-x3 16. lim х+1+ V1-x2

A: limx→1+1-x31-x2

Q: lim x approaches 2  .......... [x2 - 7x + 10]/[ x - 2]

A: Given :                     limx→2 x2 - 7x + 10x-2

Q: x+5 -lim x-5 r²+25,

A: Given limit, limx→5x+5x2+25

Q: x2 - 6x + 8 lim x--2+ x3 - 4x

A:

Q: lim x approaches 0 (e3x-3x-1)/x2

A:

Q: x3 - x2 - 5x lim x-1 - 2 (x + 1)2.

A:

Q: V3x -V6-x lim x→-1 4+x2

A: Given: limx→-13x-6-x4+x2

Q: 3x4-x2 2) x"m. (2 + inx) lim lim 1) x4-1

A:

Q: (4x-V16x C. lim +3x-5 3x-7* d. lim x0 2x-15*

A: c)…

Q: x2 +2x+1 x(x+1) limg1

A:

Q: hg limits exactly. x3+3x2-11x-68 lim x2-7x+12 X4

A:

Q: lim x---q x2/2x

A: limx→ qx22xPlug in the value x=q=q22q=q2

Q: V1-x3 15. lim x-1- V1-x2

A: the given limit is: limx→1-1-x31-x2 we have to evaluate the given limit.

Q: V3+x-V3 If f(x) = Solve to find lim f (x)?

A: we have to find the limit

Q: V2 lim x-2 x- 2

A:

Q: ]x - 5| lim 3x-15 x5-

A:

Q: 2. lim f(x) = x²– 4x +4 х 2 Use the domain [-9,6] to draw the graph. X X -2

A: Firstly, See the graph of (x² -4x +4)/(x-2) , -9≤x≤6

Q: lim メ-2 ー×t6-× 2. 12-X X +6

A: Solving

Q: x² 12x + 27 - lim x → 9 x – 9 -

A: limx→9x2-12x+27x-9

Q: V39 - lim x → 39 x – 39

A:

Q: lim Q3/ Evaluate -costx) 3 sec x (1+ X /2

A:

Q: the limit is negative infinity enter "-INF". x2+4x-12 lim→2 x2 –4 x2 +4x–12 lim→-2 x² –4 x2 +4x–12…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: lim (V10 + 2x+ x² – x) -

A: we have to calculate the limit…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.