(a) What is wrong with the following equation? x² + x – 6 x + 3 х — 2 (b) In view of part (a), explain why the equation x? + x – 6 lim - X - 2 lim (x + 3) is correct.

Q: What is lim O -∞ 0 1 2 O +∞ x^x + x^ I 2-700x + √x-2x√x²

A:

Q: 1 ? Why? 0* In(x) What is lim 10 8- 4 2 5 6 8 10 -4 -6 -8 -10 3.

A: The graph of 1lnx is, From the graph we can see that, As the value of x tends to 0 from the right…

Q: x² + kx – 10 Find the value of k that would make the lim exist. lim X – 2

A: Explanation of the answer is as follows

Q: 1. Find the value of lim (5x – x*), or state that it does not exist. Either way, explain in words.…

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: х3+x2- х-1 The value of lim -is the same as x3 - 3x- 2 X+ -1

A: Let's find.

Q: Problem 4 (a) 5x-3 – 4 (i) Lim- X- 2x-2 +9 (х — 3)2 (ii) Lim X-o X 2 7- 2x – 3

A:

Q: x - 16 -2 lim

A: Since you have posted many questions here, i can answer only one at a time Please repost remaining…

Q: b. lim x->0+ -3/x 2 X²

A: A limit is a value that a function approaches as the input approaches some value. Limits are…

Q: 4 x*-81 Find lim- x+3 2x²-5x-3

A: First of all we will factorise the numerator and denominator separately and then cancel out the…

Q: Find the limits in Exercise

A: The limit x→a+ implies x  approaches a from the right. The limit x→a- implies x  approaches a from…

Q: *+1 Find lim H00 3x - 4x +5 if it exists. Find lim(1 + r), if it exists. X-4

A:

Q: 5. Evaluate lim x→2 x² - 16 X x-2

A: According to Bartelby's guidelines, we can only solve one question at a time, please post again to…

Q: 21 x² +4x+3 4. Find lim x→1x -5x+6

A: Given query is to find the limit of the expression.

Q: 2x e-2x2 lim २३

A: We can find the solution by applying the L' Hospital's rule for limit calculation.Here if we get 0/0…

Q: limits

A: Given,

Q: 31. lim (x2- 1) 3 -2

A: Given

Q: et-1 - 1 (b) lim x1 x2 - 1

A:

Q: 4. Evaluate: lim(x² - 10x) x→6

A: This question can be solved by replacing x by 6 in the expression x2-10x.

Q: 4 is x→00 2x2-3 lim A. undefined В. 4 С. 2 D. 0 E. 1

A: To compute the following limit

Q: x2 + lx 30 What is the lim I -6 x2 + 5x – 6

A: According to our guidelines we can solve only one question so we are solving the 2nd question for…

Q: 2.7h - 1 lim 2.8h 1 lim - and - h 0 h h

A: To see explaintaton

Q: Зx2-х-64 17.lim х-4 х2-х-12 10х2-7 18. lim х-о Зx2-х-12 х3-81 19. lim х-0о Зx2+4x+2

A: We will solve the problem.  L.Hospital Rule will be used in the problem.

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: +x² +x - 1 lim x –1 -

A:

Q: 1 2. lim,x

A:

Q: Evaluate: lim tan3x x→0 x

A:

Q: Q \ Find the value of 8 > 0 that guarantee lim x-0 csc(1/x) = 0 in terms of ɛ?

A: Definition of limit: We know that, limx→af(x)=L               ...(i) For each ϵ>0, there exists a…

Q: Solve without a calculator: lim (x3- 8)/(x2- 4) as x approaches 2.

A:

Q: y of -4 -2 -2 (a) (1) (b) lim f(x) x-1 2.

A:

Q: Н.W: 3 lim x*-2x2-8 1-x2 х2-4 3- lim V3x-3 X-3 2- lim (1+x)2-1

A:

Q: Hi, can you please show me the work and final answer to this problem?Thank you!

A:

Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: lim 2x + 1 -0

A:

Q: 1. lim(x+2x-3)

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 8. Evaluate: lim |5-x| x-5-5-x

A: To evaluate the following limit.limx→5- 5-x5-x

Q: Find the following: A)) lim x+1 x-3 lim B)) x4 x+1

A:

Q: 2x a. lim x-+3" X - 3

A: limit

Q: a) lim 3x + x2 x→1

A: We are asked to find the limit.

Q: (a) (i) Lim  5x −3 − 4/ 2x −2 + 9  x→∞  (ii) Lim      (x − 3) 2/x2/2  − 2x − 3      x→∞

A:

Q: 6. (a) What is wrong with the following equation? 24 - 8x2 + 16 = x² - 4 %3D x² – 4 (b) In view of…

A:

Q: Find the limits

A: Find the limits

Q: 2. Complete the table and use it to find lim numerically. x-2 x -2x-8 -2 x² +2x x² - 2x-8 x² +2x lim…

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

Q: Vx+12-4 3. Confirm your result in the problem 2 by evaluating lim x→4 algebraically. x-4

A:

Q: 1) 2|3x + 9| < 36 x2-2 2) lim х-2 х-3х+2

A: According to question given that :(1)   23x+9&lt;36(2)   limx=2x2-23x+2

Q: x2-1 Solve for the lim x8R+3x-4

A:

Q: 2x2+1 lim x→∞ (2-x)(2+x)

A: Try to bring the x in the denominator since x tends to infinity and 1/∞ is 0.

Q: Find lim I -4 2+1 1 lim z - -4 +1 Show your work and explain, in your own words, how you arrived at…

A:

Q: Find the limit

A: