(x+2)^2 <25

Q: 2-limx-o(x. secx.cscx)

A: To find the limit of the following.                                     limx→0 (x sec x csc x)

Q: Calculate limit of (square root of x^3-1)-x^2 as x approach to positive infinity. Thank you!

A:

Q: 2x" + lim 6/x ·1 - 1 X→0 8x - 7x 4

A: We have to solve

Q: Find the limit at infinity: (root(x^4+3))/(4x^3+x)

A: Divide by highest denominator power of the function:

Q: 5x2–80 lim X-4 X-4

A:

Q: 2. Find lim 7x+5

A: limx→∞7x+5x2-4x=limx→∞x(7+5x)x2(1-4x)=limx→∞(7+5x)x(1-4x)

Q: Find the Limit (sin3x)/(5x^3-4x)

A: Obtain the limit value as follows.

Q: V5x+4-2 -lim

A: Given that : lim(x tends to 0) (√(5x+4)-2/x). We find the value of this limit problem. Here i…

Q: 4 - VE lim x>16 16x – x?

A: Given: limx→164-x16x-x2

Q: Use a tble of functional values to evaluate: lim 2²–1| x-1

A: Given, We will calculate the value at some points and then will calculate the limit of given…

Q: Evaluate: " 3x3-3х2-18х lim xsinx+2 sinx

A: Value=?

Q: Find lim,x - Vx²+ 2

A: To find the limit

Q: ■ Find the limit.

A: Evaluate limx→∞3x-22x+1

Q: Evaluate the limit 6x 2x 9x lim 3x 9x 3

A:

Q: limx--&gt;3 x2−x−6/x-3

A:

Q: Compute limx→∞ √ 2x^2+3x−1 / 7x+1

A: Divide the numerator and denominator by x…

Q: Express the inequalities xs 3 and -1sx< 4 in interval notation.

A: x≤3 and -1≤x&lt;4 The first inequality means x values less then and equal to 3. For equal to sign…

Q: Give five examples of the use of extreme value theorem in real life.

A: Examples of the use of extreme value theorem in real life.

Q: Find the points on the graph of f(x) = 6x – 2x³ where the tangent line is horizontal. (Use symbolic…

A:

Q: 2x lim x→9- 4-/25-x

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

Q: 1- x - x2 lim 2x – 3 x--00

A:

Q: limit as x approaches infinity, 10x^5+x^4+31/x^6

A: Here an expression is x is given to us and we need to calculate the value of expression when x tends…

Q: 2 lim x→5 (x – 5)6 =

A: In this question we have to find limit.

Q: Find the limit

A: Given: limx→73xx+2 for evaluating given limit, we put x=7 in given limit

Q: s discontinuous at a = -3, determine whether

A:

Q: i) lim (In (3x-2)-In(5x+4))

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 32x4-5x+11 lim x-∞0 4x3-12x4

A:

Q: Lim 2x3 In x

A:

Q: Find lim *2 x -2 In(x- 1) by using the La'Hospital Rule.

A:

Q: (In x)² lim

A:

Q: tind lim X+8 -3 メ→ - メ+」 2. lim X+3 2. メ→ -3 ×+uメ+3

A: The given problem is to evaluate the given limits of a function, we have to check the 0/0 form then…

Q: lim ex-e-7X

A:

Q: Determine |7x + 42|| lim x + 6 x - -6 + |7x + 42 | lim x + 6 X- -6 -

A:

Q: unction to model th model at x = 25.

A: The table is given with the data where x and y coordinate of the equation is given. a. The graph of…

Q: ar X13 lim 2x²-3 2xーナ

A:

Q: Evaluate the limit 7x2 2.0 2x +3 lim 3x +4

A:

Q: 1 4 lim 2--2+ x – 2 In(2x – 3) -

A: We have to find out

Q: lim + 4x - - X00

A:

Q: In x 35. lim

A:

Q: 6) lim. x²2x X+1. -2X メ→3

A: The value of the limit is, 3/4 The detailed solution is as follows below:

Q: 2x-√5+4x lim x→6 x-3

A: The given limit is limx→62x-5+4xx-3

Q: . Find limx→0 x 3 + 2x − 4/x+1

A: The given limit is

Q: Find the limit. 28x-7x lim x4 x→4 2-x 2. 28x- 7x lim 日 x→4 2- Vx (Type an integer or a simplified…

A: The solution are next step..

Q: lim (x2 + 2)sechx

A:

Q: What is the square root of 3x+6dx with the upper limit of 1 and lower limit of 0?

A: To evaluate the given definite Integral

Q: If sqrt(5 - 2x2) &lt;=ƒ(x)&lt;= sqrt(5 - x20 for -1&lt;= x&lt;=1, find lim x--&gt;0 ƒ(x)

A:

Q: 2 lim + 8 00 - x x + 5x + 7 * 2.

A:

Q: find the positive intervals for  x2 − 3x

A: We need to find the interval for which function is positive .

Q: (V16x* + 7x – 4x²) = - 4²) = lim x+00

A:

Q: Lim √2+x² X

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.