х3 — 8 lim x→2 x – 2

Q: evaluate using the identity a^3 − b^3 = (a − b)(a^2 + ab + b^2)

A:

Q: 16. Evaluate : limx → 5x-2 a. 9 b. 27 C. 81 d. 243 e. Does Not Exist.

A:

Q: Find the value of lim f(x), if x5+ J 6x + 3 2x + 7 x 5 f(x) = O 9 O 17 O 45 O 14 27

A: Here use the concept of limit.

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

A: Given limit limx→27 x-27x13-3 We can write the above equation limit as limx→27 x133-33x13-3

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

A: It is given that, limx→-2x3+8x2+6x+8 and an identity is also given, which is such as,…

Q: L3x* -3x +b for all X, If bx < alx) evaluate lim 96x)

A: Concept:

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: A) x4-(y-1)4 lim (x,y)→(0,1) x²+(y-1)² = 0

A:

Q: 25x2 - 70xy + 49y? Find lim by rewriting the fraction first. 5x - 7y (x.y)→(7,5) 5x + 7y 25x2 - 70xy…

A:

Q: can this be evalnated by using L'HOSpital's Ruie? lim Trxln(x) Itxen(x) (メ-)nx

A: The given limit can we evaluated by using algebra of limits.

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

A: We have given a limit function;

Q: A- The result of the follo 2x² + 3x lim xxx³+x+1 02 Oo O 1 O infinity

A: To find: limx→∞2x2+3xx3+x+1

Q: Q2. Evaluate the following 4-x2 1. lim x-2 3-Vx2+5 t2+3t+2 2. lim t--1 t2-t-2

A: Given: 1. limx→24-x23-x2+52.limt→-1t2+3t+2t2-t-2

Q: Q. 1. Evaluate the following -x* +3x +5x –-18 lim a) 5x2 – 2x-0.5 Vx² +15 - 4 b) lim- x-1

A: Part a,Given,          limx→∞-x4+3x3+5x-185x2-2x-0.5

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: Let f(x) = 3x + 2. Use the € – d definition to prove that lim 3x +2 1. x→1 Definition. E-d proof.

A:

Q: . Let P(r) = 5x³ – 3rª + 3x³ − 9r + 5. Give a step-by-step € – 8 proof that - - lim P(x) = P(1). I→1

A:

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

A:

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

A:

Q: Which of the following is/are signified by lim f(x) = 00? %3D

A:

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

A: the given limit is: limx→-2x3+8x2+6x+8 we have to evaluate the given limit using the identity:…

Q: What is the value of c?

A: we have to to find the value of 'c'. limx→c+2x+1=0

Q: 10sin (Tx) In (xº) q(x) What is lim g(x)?

A: solution :

Q: Evaluate 23 - 7x2 +10x lim x² + x – 6 Select one: O a. -6/5 O b. -1/5 Oc. -5/6 O d. 2/5

A: limx→2x3 - 7x2 + 10xx2 + x -6

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: 1-lim r. In r Answer =1/2

A: note: as per our company guidelines we are supposed to answer only one question. Kindly post other…

Q: What is the value of x2 -9 lim a-0 x2 x - 6 -3/2 O 2/3 3/2 O DNE

A: limx→0x2-9x2-x-6

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

A: To find the limit of an expression we have to write the expression in its simplest form and  we need…

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

A: Given, limx→1x4-1x3-1. The objective is to evaluate the limit.   Apply the identity: x2-y2=x+yx-y…

Q: Which of the folwoing is true? -2x2 + 3x-1 - lim 5x3 – 5x+2 -2t2 - 3t +7 II. lim t+0 4t2 + 2 X+ + 0…

A: To find the limit of following function

Q: lim,+-1 f(x) = $1 # 1 affe # HE 3 52 #1 0 EM 0

A: The objective is to evaluate the limit.

Q: 372 + 6 Evaluate lim, -2r Select one: A. - O B. - C. A O D. С. уз

A:

Q: Answer the following. Students are noi V6-x-2) 1. Find lim x→2 V3-x-1

A:

Q: бх — 2, х < 2 3. limf(x) for f (x) = x-2 %3D 13x2 -1, х 22 |

A:

Q: evaluate using the identity a^3 − b^3 = (a − b)(a^2 + ab + b^2)

A:

Q: Jxi +5 lim + 5 x² -. Q4/ a) Find

A:

Q: otherwise exist, enter DNE.) x2 + 18x + 81 lim x- -9 x2 + 10x + 9 DNE Need Help? Read It

A:

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

A:

Q: Which is the lim a* ? xo- 1 -1 +00

A:

Q: Justification needed * Find lim x2 dt X 00 1/e

A:

Q: 2.) Evaluate the one-side d limitss lim Jx+7 = メラー7 lim xキ7 - メーマー7+

A:

Q: If -a2 + 6x – 7 < f(x) < 2x – 3 for all r, find lim f(x). Cite any relevant theorems used.

A: Given that,  -x2+6x-7≤fx≤2x-3 To determine limx→2fx. By the algebra of limits, If gx≤hx  then…

Q: b. Evaluate lim X0 ex

A: Given limit is : limx→0xex  To find the value of the limit.

Q: Vx+4 -2 1 limx-0 2 True False O

A:

Q: 2x So" et (c) lim (d) lim (3r +e") 2

A:

Q: neither x² – 9 A) limx→3 4х — 12 - x2 – 1 - B) limx→1 VI – 1

A:

Q: evaluate using the identity a^3 − b^3 = (a − b)(a^2 + ab + b^2)

A: Given integral is We will factorize the quadratic factor by splitting the middle term as follows.

Q: Using direct substitution, what is lim²+6z_5, Z-2 223 O 1 O 1 O does not exist

A: We have to find    limx→2x2+6x-5x2-3