a) Find the limits: 1- lim- X-1x-x 2- lím 0 V+4-2 5x 3- lim

Q: 6- lim メ→2 2-x

A:

Q: 1- Find the limits: lim V - 1 メ→ x-1 а. 2x3 b. lim x- 00 3(x-2)2 2x3 c. lim x2 3(x-2)2 x+1 d. lim…

A: Consider the limits  a.limx→1x−1x−1b.limx→∞2x33x−22c.limx→22x33x−22d.limx→3x+13−x2

Q: Find the limit. - 9x lim x+2 x→-2 - 9x lim x+2 x→-2-

A: To evaluate: limx→-2--9xx+2

Q: Lim x-0 et - 10t

A:

Q: Evaluate the limit. 8 lim x→4+ \x-1 x + 2, / \4 – x/

A: To evaluate the limit: limx→4+xx-1-8x+214-x Solution: First we will simplify the expression and then…

Q: find the limit or explain why it does not exist.

A: The limit shows the function behaviour at given point. The value of function for a given limit is…

Q: Evaluate the limit: 4x + 4 lim x -1 x2 -2x-3 %3D

A:

Q: 2 3 Determine the limit: lim x1- 2- 4x + 3

A: To determine left hand limit of given function.

Q: Find the limits 4 lim x-0 x²/5

A: We know that, limx→0ax=∞; a is any of positive constant

Q: lim エ→0- ー|2

A: Given: limx→0-xx-x Here, x is negative when x→0-. Therefore, x=-x

Q: a) Find the limits: 1. lim *-1 X-1x-r V+4-2 2- lim 5x 3- lim X-00 Vr2+4

A:

Q: 1- Find the limits: VI- lim X X-1 а. 2x3 b. lim x→ 00 3(x-2)2 2x3 с. lim x2 3(x-2)² x+1 d. lim X-3…

A: Given: )

Q: Find the limit

A:

Q: 1- Find the limits: lim x→I x- 1 а. 2x3 b. lim x- 00 3(x-2)2 2x3 c. lim x-2 3(x-2)2 x+1 d. lim x-3…

A:

Q: Find the limits. Write ∞ or -∞ where appropriate. lim x2 - 3x + 2 / x3 - 2x2 as What, if anything,…

A: We factor the numerator and denominator then (x-2) cancels

Q: 2 lim x→1- x²

A: The limit of the function f(x) is obtained as L=limx→a-f(x)L'=limx→a+f(x) Then the limit of the…

Q: Determine the limit: 12x - 10| lim %3D 5 - x X5

A: To find  The given limit

Q: Lim X-0 √1+x-√1-x x

A: evaluate the limit limx→01+x-1-xx

Q: Evaluate the limit. 3 1 lim -1-\2x² + x –1 x + 1/

A: limx→-132x2+x-1+1x+1

Q: Find a number b such that lim- .2. x²-4 =2 x-b x-x -2

A:

Q: Find the limits of x² 1- lim Vx+1 -1 +x - 6 2- lim | x+3 x→-3

A:

Q: Determine the following limits or state that they do not exist.

A: a. limx→3+2x-33=∞   ∵x-3 tends to 0 from the right side as x tends to 3 from the right side. b.…

Q: find the limit or show that it does not exist for lim x→−∞ √4x2 + 1 / 2x + 5 .

A: limx→-∞ 4x2+12x+5 = limx→-∞ x4+1x2x2+5x                                =limx→-∞ 4+1x22+5x…

Q: 4-Find the limits of the following; r-1 1.lim x+3-2

A: Answer

Q: Find the limit. 9) lim 1+ x3

A: See the details solution in below

Q: Find the limits 1- limx-+1 エ→

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Use the ε–δ definition of infinite limits to prove the statement.

A: limx→ 3+1x-3For x approaching 3 from the right, x>3  ⇒   x-3>0The denominator is a positive…

Q: Evaluate the limit, if it exists. If not, determine whether the one-sided limits exist (finite or…

A: Our Aim is to evaluate the expression given below:-limx→4 1x-2-4x-4-(i)

Q: Find the limits using any appropriate method. In a 4.4 #22 lim X00 x2

A:

Q: lim (x³ + 4x² + 4x – 1) = -1, a-2 1 lim - = 1.

A: Given,

Q: Use the theorems to evaluate the limit. lim x³ x → 2

A:

Q: Determine the limit, if it exists. lim 5 (x -7) X→3

A:

Q: Find the limit or show that it does not exist. lim x→infinity   x^4-3x^2+x/ x^3-x+2

A: Given information: limx→∞ x4-3x2+xx3-x+2

Q: 3x lim x→∞ √x²+1

A: We can evaluate the limit as below.

Q: Use the theorems to evaluate the limit. 1 lim x →∞ X² ||

A:

Q: (a) lim (3x + 5) = 2, I-1

A: a limx→-13x+5=2using ∈-S definitionWe need to prove that :Given any ∈, we can find S , so that…

Q: Evaluate the limits - im 1 lim x→-2 X

A: limit x→-2 1x3

Q: evaluate the limit, if it exists. If not, determine whether the one-sided limits exist (finite or…

A:

Q: : Evaluate the limits. (a) lim(1- 2x) (b) lim Vre /2

A: We have to solve

Q: evaluate the limit lim                 x          x->2+         (2-x)3

A: Firstly, We introduce new variable h as shown on board.

Q: Find the limit. 1 lim x→-3- X + 3

A: Given: It is given that the limit is limx→-3-1x+3. To find: The main aim is to find the value of…

Q: Evaluate the limit. 1. lim X0+ 2x4 x+2 2. lim x+5 3. lim X-2+ x-2

A: We can solve the problem by just evaluating the limit.

Q: Find the limit or show that the limit does not exist. lim→-0 4x2 + 3x + 2x x→-∞

A: See the details solution in below

Q: Find the limit or show it does not exist. 1- x2 х3 — х +1 16. lim -

A:

Q: Find the limit. 10) lim x-2+ (x - 2)2

A: Topic = Limits

Q: Determine the infinite limit: lim (x – 3)5 I-3-

A:

Q: Evaluate the limit. 1. lim (2x3 - 3x2 +x- 1) X-1

A:

Q: Find the limit lim x →∞ √1+ 2x + 9x² -2x + 5

A: This question is related to limits, we will solve it using given information.

Q: Evaluate the limit: lim Væ+5-V5 x-0

A:

Q: Determine the following limits. lim 1x + Vr - 5x2 xS-00

A: Given: limx→-∞x+x2-5x

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.