)-() lim 2z- 1422–1|

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: Prove rigorously that lim (4 + 8x) = -4. X-1

A:

Q: (2x-1)(3-x) is (x-1)(x+3) limx→0

A: Given problem is :

Q: 2 |11x - 36x + 9| Determine lim х>3- 9х — 25х-6 9х -25х- 6

A:

Q: evaluate the limit.

A: Given  it can be written as

Q: 22-4 Evaluate lim x→2 x-2 Submit

A:

Q: Show that lim→0 x2cos(1/x^2) = 0

A:

Q: ■ Find the limit.

A: Given limt→∞t+t22t-t2

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: х2 + 2у lim (х.у)-(0.0) 1 — е*-у!

A: Explained below

Q: b. limx-3= In(x-2) %3D X-3

A:

Q: lim (- %3D x2 - 2sinx + 2x O 1 42

A:

Q: 14 - 2 5. lim --2 212 - 3t + 2

A: For evaluating the given limit, we shall use the fact that limit of quotient is equal to quotient of…

Q: Prove that lim x 2 = 4. x→ 2

A:

Q: 16 2x lim x2 – 4 x – 2 x→2 - -

A:

Q: 6. What is lim 1 -? Why? -40 In(x) 10 8 4 2- 5 6 10 -4 -8 -10 3- 2.

A: To find

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: 17. If lim- X- 200 – 4n + kn² then k =

A: Given

Q: O Find 2- X Lim X→2 2- 2X X #2 xY _ 2x² – 8 x² - 4 2 Find Lim x²- 2x²- 8 X->2 Lim 3X X→3 X- 3 -3 X…

A:

Q: 6-2x Prove by definition that lim 4. 3

A:

Q: 5. Prove that lim Show your t→-2 t+2 complete solution.

A:

Q: You are not allowed to use L'Hospital's Rule 2x2 – 32 - lim V3x + 4

A:

Q: Find the exists. 5 x а. lim 3 5x'+1 b. lim 10х-3x +7

A: Given that: a. limx→-∞5x-x3b. limx→∞5x3+110x3-3x2+7c. limx→∞5x2+2x2+3

Q: 27+x- 5 Compute lim II-2 x+2

A:

Q: H-w in limits 3-3- 2.21 9 iaam ) Lim. 1- CosC2K) Sin (24) 2 - メャ3 2) Lim x2x -3 3) Lim (X+4}-16

A:

Q: De nty. lim Bx+5 6+X6-

A:

Q: 12-x-x 1- Prove that lim -7 %3D x-3 V6+x-3

A: our objective is to find the limit

Q: х-2 Determine lim x→2- 2-V4x-x²°

A:

Q: Prove that lim5 (x2) = 25

A:

Q: In(x-2) 1- Find , limx→2 In(x²-4)

A: The given limit is, limx→2ln(x-2)ln(x2-4)

Q: x-3 lim Xx2 - 2x -3,

A: x2-2x-3=x2-3x+x-3        =x(x-3)+1(x-3)        =(x-3)(x+1)

Q: Prove lim-13x+2=-1

A:

Q: limd x²-1 = X- T2+*]

A: Given questions:           Question 1:                                     limx→1+x2-1=?…

Q: 2. x+3-16-11x-x ² Lim X-1 GAMA

A: as per our guidelines, I m solving only one question, please resubmit other questions To find1. lim…

Q: d: (a) lim ズー2 オー2--(*+1)

A: Answer:  The solution is as shown below:

Q: 7) Show that lim = 1. 200 (z-i)3

A:

Q: * the limit of .7 213 lim- 5x² + 4x – 6 6x + 2x - x00 Not Exist O

A:

Q: 4x-x2 lim- x-4 X-Vx 12 O 16 O 11 O 13 O السؤال 7

A:

Q: 5. Prove lim 5x + 2 = 17. Your work should include pre-work, and formal proof.

A: To solve the following question on limits

Q: 4- Prove that lim- tan 2x 5-lim 2(-3+x)²-18) x-0 X-0 2.

A:

Q: 1 4 lim X + 2* х-2 In(2x-3)

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: 8 What is the lim+2+ (2²4-²2)?

A:

Q: Find the limits

A: Find the limits

Q: 4х-8 lim Jx² +16

A: Try to put 'x' in denominator , so that when x tends to infinity then that term will become zero.

Q: 3 – 19- 2x+x² Evaluate lim

A: As this is of 0/0 form so use L'hopital's rule and simplify.