X-SINX 2. lim X0

Q: (4). lim x2 +1-x

A:

Q: 3√x - x - 1 lim x→1 x-1

A: To evaluate the following limitlimx→1 x3-1x-1

Q: lim (1,1) J-

A: Hence,lim(x,y)→(4,4)x3-yy3-x=1

Q: 2x +8 1 x² – 12 x lim X→-6 x + 6

A:

Q: 3x+9 lim x=3 X2-9

A:

Q: 3 Find: Lim. 3+1

A: Given limz→1+iz2+1z2-1

Q: tan? 3.x lim x→0 4x2

A: Given: limx→0tan23x4x2

Q: USE YOUR CALCULATOR to find lim 5 sin(x) 2x

A:

Q: Find the following: x/3 + 9x/5 i. Lim X 06x1/2- 4x1/4

A:

Q: lim x3 3 3 1 – x

A: Concept: Limit: The value that a function tends to approach as the input value, also known as the…

Q: In x2 lim

A: Given: The limit is limx→∞ln x3x5. Evaluate the limit using L'Hospital's rule. Concept used:  1.…

Q: lim vx – 3 = 1 x→16

A:

Q: Evaluate: Express your answer in three decimal places. limx→8 √√x-2

A:

Q: 1. lim 4x 2. lim n--33 3. lim (x² + x - 6) n-0

A:

Q: 1-cos2 x 6. lim x-0 9x

A: To find the limit values: limx→01-cos2x9x

Q: 1? — х — 12 lim x→3 x² – 9

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 2x+3 lim x → 0 sin 3x

A:

Q: 1. lim x csc x x- 4.

A: we have to find the following limits (1)…

Q: Evaluate lim (tan-(t),e-2t,m²). t-1

A: We want to find given integral.

Q: Vx +9 lim - 3 x2

A: Given rational function is fx=x2+9-3x2

Q: 13. Lim (2 Flx) - 3g(x)) X-3

A: We can find the answer in the below steps.

Q: Is limx➔ l0 20 equal to 10 or 20?

A: Given- limx→1020 To Check- Whether the value of the above expression limx→1020 is 10 or 20.

Q: If limz→-3+38i (22 + 6z) = x + iy, what is the value of x

A: Given that z = -3 + 38i So, z2 = (-3 + 38i)2 = 9 - 228i + 1444 = 1453 - 228i

Q: lim (x – 3)2 + 6 = 10 x→5

A: We will use some basic properties of limit to solve this question.

Q: x - 2x-15 lim 2.

A:

Q: 2-limx-o 6x cot3x

A:

Q: lim x(√16x² + 2 - 4x) X118

A:

Q: 3 - V11 + 4x 2x +1 1. lim

A:

Q: 2 - Vx2 - 5 lim X-3 x+3

A:

Q: sin (x) lim C. X-0 x3 lim X2+ In d. G-) X- 2

A:

Q: Vx² +9 – 3 lim 2

A: Given  limx→0x2+9-3x =limx→0 x2+9-3x2+9+3xx2+9+3         multiplying x2+9+3 on numerator and…

Q: 8. lim ) 1 x-0 xVx+1

A:

Q: n +1 lim 2 - ["]

A:

Q: 1 + x² – 4x + 3 lim T→1- T2 – x

A:

Q: 3. Use the definition to prove that limr→∞ x² 00.

A: Given : The given function is ;  f(x) = x2 To prove :  By the use of definition, we have to prove…

Q: If f(x)=√x find limx-4 f(x)-f(4) x-4

A:

Q: lim,-1 f(x) =

A:

Q: -limx¬o 6x cot3x

A: Explanation of the solution is given below...

Q: Evaluate: Express your answer in three decimal places. 3x-2 limx→8 2-8

A: limx→ 8x3-2x-8       00 formApply L'Hopital's rule,=limx→ 813x231Plug in the value x=8=13·…

Q: Solve without a calculator: lim (40x2 + 2x + 1) / (sqrt(25x4 + x3)) as x approaches infinity.

A: Given:

Q: Evaluate х-3 limx→3 x2—х-6 А. 0.5 В. 0.2 С. 0 D.

A:

Q: 2x2 +2x-4 lim X→1 X-1

A:

Q: т? + 2х — 15 - Find lim x→3 x2 – 9 - Answer %3D

A:

Q: lim 2JX = %3D lim X- 1 В. lim x-1 Vx - 1 2JX

A:

Q: Answer with solution please thankyou.

A: We will find the limit.

Q: 393. lim x x → 0+ 1/x

A: Given: L=limx→0+x1x. To be find: evaluate the limit by using L hospital's rule. Concept: according…

Q: i. lim(1 + x)5

A:

Q: lim f(x) x-4+

A: From the given figure, it is noticed that the graph of function fx approaches 0 as the value of x…

Q: lim (x – 3)² – 4 = -4 x→3

A: Given: limx→3 x-32-4 Limit of a polynomial function f(x) at x=a is defined as limx→af(x) = f(a)

Q: x²y + x³y² lim (x,y)-(-2,1) x² + y2

A:

Q: 1 lim (2) 1 x 1

A: L'Hospital Rule :  Suppose that we have one of the following cases ,             limx→a f(x)g(x) =…

Q: tan2x 3)- lim,-o 3x

A:

Q: Letfo, x-2x? find lim faz? 3x2

A: First we simplify f(x) then we use limit x→-2 .

Q: x? — х lim х-1 x2 + 9х — 10 (-5+ h)? – 25 lim h→0 h

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.