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

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: 2) lim () – X-00

A:

Q: What is the value of lim (1+ 4 )": п 4n O-1+i V2 O 1+i V2 O -1-i V2 1-i V2

A:

Q: Find lim h(x) and lim h(x) and lim h(x) 1--2 1 I+2 x > 3

A: To find : Limits of the function h(x)

Q: 4-x lim,.

A: The given limit is limx→∞4-xx

Q: 5. a) Explain why lim vx-3 does not exist. b) What about lim V(x 3)2 ?

A:

Q: lim [r – In(4x + 7)] x→+0

A: To find the limit

Q: Show that lim Z-2 (2-2)4 || ∞

A:

Q: QI/ Find the following 1- x - 2 lim x--2 x2 - 4 lim (5 + lim (5+) 0-ズ 3- 2x2 +3x lim x0 5x2-2x 2-

A: 1)         1) limx→2x-2x2-4            = limx→2x-2x-2x+2           = limx→21x+2           =…

Q: (b) With the help of Sandwich theorem (or Squeeze theorem), show that lim (2 √√x - 1)" = x² for x ≥…

A: By using Sandwich theorem,  we have to show that ;   limn→∞2xn-1n = x2  for x≥1

Q: 22-4 Evaluate lim x→2 x-2 Submit

A:

Q: 2. Find lim (√x + 2 = √2).

A:

Q: 2n +1 a) Using the definition, show that lim n00 3n +4 3

A: Given,           limn→∞2n+13n+4=23

Q: 3 - Væ + 5 lim x – 4 - ||

A:

Q: Show that lim→0 x2cos(1/x^2) = 0

A:

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

A:

Q: lim x---q -8x2 + 1/x2 + 1

A: To find the limit  limx→q-8x2+1x2+1

Q: What is lim x-inf (x_n) and y=lim sup (x_n) where x_n = [(-1)^{3n}] + 2?

A: We have to find the lim inf and lim sup of sequence

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

A: Given

Q: (a) lim 1+ x2

A: Solving the problem by obtaining the limit.

Q: Find the limit.

A:

Q: lim x---4, x - 4/x2 - 8x + 16

A: limx→4x-4x2-8x+16

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: 1. 2. 3. () ) lim lim 2 tan lim (x²–16) x+2 - x →4 4-x х -3 х-2

A: Note : According to our answering guidelines we have to solve only 3 sub parts (if multiple subparts…

Q: ■ Find the limit.

A: Given- limx→12-xx-12 To find- The value of the above limit.

Q: tan(x) Q1: limx¬n X-n is

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: 3 - 2x? +x- 2 Use L'Hopital's Rule to evaluate Support your answer graphically. lim X2 x² +x-6

A: To find: The limit by L'Hopital rule. Given information limx→2x3-2x2+x-2x2+x-6

Q: Find f(a)  a=2

A: We know that the definition of derivative is: We write the given equation in this format and find…

Q: lim (2x-5x) is x--2

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Q: Evaluate:

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Q: х-2 Determine lim x→2- 2-V4x-x²°

A:

Q: 4. If lim f(x) = -2, lim f(x) = 3, and f(0) = -2, what can X0+ X0- you say about lim f(x)?

A: Given, limx→0+f(x)=-2limx→0-f(x)=3f(0)=-2     Find limx→0f(x)

Q: Evaluate

A: The limit of a function at a point is the value the function tends to as x tends to that point. For…

Q: 2/3 x2/3 – 1 13x + 41-1지-4 Evaluate lim 38. Evaluate lim -11 - V

A: Hello, thanks for the question. Since we’ll answer the first question as the exact one wasn’t…

Q: 3. Evaluate the following limits: +1 iv. lim 42 x-3 x+3 1 lim 4 v. 3 x2-2x-3,

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Prove that lim5 (x2) = 25

A:

Q: 4) lim,-16 () x²-256 4-Vx

A: using the property  a2-b2 =(a-b)(a+b)

Q: 2 In x lim x→+∞

A:

Q: Find the limit

A: Since, we have to evaluate the function given below:-limx→0 2+x-2x-(i)Since, on applying limit in…

Q: ure E-S theorem to prove the following lim (9x+5) = - 32. x→3

A: Here we will evaluate the required value.

Q: (3+x)² – 9 - Compute lim

A:

Q: Use ɛ - 8 def inition to prove lim x 8. %3D X2

A:

Q: Can I get help with this question step by step?

A: The given expression is:

Q: Find the limit. lim X→1 lim X→1 √√x² +15-4 2 X-1 2 x + 15 -4 X-1 || = (Type an integer or a…

A:

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: o Find Lim X-→2 2-12X 2- X X #2 @ Find Lim X→2 x* _ 2x² - 8 x - 4 | O Lim 3X X3 X- 3 -3 X ¢3

A: All question are of the indeterminate form( i.e. 0/0 form) We try to remove those term for which it…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.