Find the Following. lim xt) 2 2) lim 3. lim x? +I xマ2 ×マー2 ×マー2

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A: Given limit limx→3 x3-27x2-9 We can write the above limit as limx→3 x3-27x2-9=limx→3 x3-33x2-32

Q: evaluate using substitution.

A:

Q: Classify the statement as either true or false. lim 6= 7 x7 Choose the correct answer below. false…

A:

Q: Evaluate using substitution.

A: To evaluate: limx→2(5x-12x-2) Solution: Given,limx→2(5x-12x-2) (Its not in any indeterminate form,…

Q: 2. Guess the value of lim () X-00 \3*,

A:

Q: Find the IImit: X – 3 lim x→9 x-9 and tyne

A:

Q: 十、ロ-29 lim (エ)→ (4,16) エーVリ

A: Given;  Lim(x,y)-(4,16) (x2+x√y -2y)/(x-√y).

Q: Evaluate lim a,2)→(2,3) 2y2 +3xy 5xy+a?

A: This question is related to limit of function of two variables, we will use direct substitution…

Q: Evaluate: lim,→3- (1–2)(z-3)

A:

Q: 16x? – 5x - Evaluate : lim 6x2 + 16 O 2.667 O 0.312 -

A:

Q: The value of lim, el3z-2) is_

A: limx→1e(3x-2)

Q: . (*، مرد Evaluate + 4+ر2+ .( مرد lim و2,4+ex) (x,y.z)(0,-2,0) %2م(,

A:

Q: 8. Evaluate 4- y lim y+4 2 - ỹ

A:

Q: If lim x→-3 for ax2 + ax + bx2 - 1 = 1, find the values of a and b.

A:

Q: What is lim,+4 -32-4, R-4

A:

Q: The value of lim (-x² + 5x – 2) I-2 is O a 10 b 12 O c 4 d 6

A: The given limit is limx→2(-x2+5x-2)

Q: Write ∞ or -∞ where appropriate.

A: limt→0+2-3t1/3 & limt→0-2-3t1/3

Q: Given that limx→1(3x – 2) = 1, what must be the value of 8 if e = 0.9? O a. 8 = 0.9 O b. 8 = 0.3 О…

A:

Q: If lim r(x) =3 then (2) =3 *+2 A) True B) False

A: Given statement is

Q: Determine the value of lim, +0 6z²+5 1+3r+7 Answer:

A: A detailed solution is given below.

Q: Suppose that limf(x)=4 and limg(x)=3 then %3D x-3 а) 21 b) 3 c) 7 a O b

A: limx→3f(x)=4 and limx→3g(x)=3, then we have to find the value of limx→3f(x)2+2gx-13=?

Q: The value of lim, 33 27-3 I+3 is O a. None O b. 4

A: Given that,limx→ 32x-3x+3

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A: Given: limx→1x2-5x+4x3-1 for evaluating given limit, we factorize denominator and numerator

Q: Find the limit.

A: Given: lim∆x→0(x+∆x)2-x2∆x

Q: Evaluate using substitution.

A: To evaluate: limx→4x-52 Solution: Given,limx→4x-52 The given limit is not in indeterminate form, so…

Q: Evaluate lim,→- V4x2–3x+2 х—2

A: To evaluate limit.

Q: 5æ²+8 The limx→t∞ 13x²+8x 13 13 13 5 Clear my choice

A:

Q: Find lim,9)→(5,-1) (x³ + 4.x°y – 2xy²) . | 1. 3615 2. 3635 3. 2635 4. 2615 5. 2605

A:

Q: If limx-->3 (x-4)/(2x2+ax+b) = -infinity, then what is a+b? -3 3 6 12

A:

Q: Evaluate the indicated limits 3z – 5z² + 7 (i) lim 1-400 8+ 2x – 5x4 lim

A: To find: limit of the given function

Q: (a) Evaluate lim, »∞ 3z+21 e 16

A: Given,          limx→∞3x2+2xex+6

Q: The value of lim,→2 e(2=- is а. 0 b. 1 C. None d. 8 e. 7

A:

Q: Let a be a real number. If lim, »0 47 = 8, VIta-Vā then which of the followings is the value of a?

A:

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A: Given

Q: Determine the value of lim,00 7²+5 a +3r+7

A:

Q: If flx)- x+3% +4, then X-3 lim x->3 flx) = ANSWER PNE If imit is wndefined | does not taist

A: The given function, f(x)=x2+3x+4x-3

Q: Evaluate: a² – y? =??? lim (x, y)-(3, –3) x+ y

A:

Q: a. x²-16 lim- x-4 x-4

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Determine the value of 6>0 for which lim (3x -1)=47 X4 A 6 = max{-4-16 -, -4+, 16 + | 3 6 =…

A: Given: limx→43x2-1=47 and δ>0

Q: lim 21

A: False.

Q: (a) Write your next step in evaluating lim 10 I+3 (b) Why did you choose to do that step?

A:

Q: ?+1 lim 2.

A:

Q: 1 lim x5+(2x-3)³ 3x8

A: Given limit is not on any indeterminate form. So, put x tends to infinity directly.

Q: Show that lim +7.6' 3D7 3^+6^

A: Consider the given limit,…

Q: Evaluate: lim, __.—3 (√22² — 10) (2²+x-6)

A:

Q: Use the comparison test to show that lim ootu 6n +n³ 5n - n³

A:

Q: Evaluate lim, --0( ) x \(4-x)2 16,

A: The given expression limx→01x14-x2-116

Q: Classify the statement as either true or false. lim 2 4 X4 Choose the correct answer below. true…

A:

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.