Kindly help with a step by step explanation on this maths problems. 


1) lim when x approaches 2  ;  (x^3 - 6x + 2) / (x^2 + x + 9)

2) lim when x approaches 0  ;  [(x-2)^3 + 8)] / 8

3) lim when x approaches infinity  ;  sqrt (x+1-1) / x



1) y = (x-1) sqrt x^2 - 2x + 2

2) y = sqrt(x-1) / sqrt(x+1)

3) y = e^ln(x^2+1)

4) y = xe^(x^2+1)


Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in


Related Calculus Q&A

Find answers to questions asked by students like you.

Q: It cost $3.45 to buy three force pounds of chopped walnuts how much would it cost to purchase 7.5 la...

A: Click to see the answer

Q: Integral of  x^2 sin(4x^3)dx Integral of  sin2x over cos ^4 2x dx

A: Since you have asked multiple questions in single request  so we  will be answering only first quest...

Q: Use logarithmic differentiation to find the derivative.

A: Given- fx=x+3x-75x3-4 To find- The derivative using logarithmic differentiation. Formula used- logmn...

Q: Write the product as a sum. cos(x) sin(3x)

A: Click to see the answer

Q: A patient's pulse measures 71 beats per minute, 72 beats per minute, and then 121 beats per minute. ...

A: Click to see the answer

Q: find the general antiderivative of f(x)=4x+7

A: Given : fx = 4x + 7

Q: sec 9.4

A: Click to see the answer

Q: For the following exercises, find the slope of the secant line between the values x↓1 and x↓2 for ea...

A: Click to see the answer

Q: This question has several parts that must be completed sequentially. If you skip a part of the quest...

A: Given function, f(x)=4x6-615

Q: I need help for 6,7, and 8 please

A: Click to see the answer

Q: Calculate the largest vertical distance between f(x) = (x + 4) and g(x) = 2x? over the interval of [...

A: Click to see the answer

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

A: Concept:   The calculus helps in understanding the changes between values that are related by a func...

Q: which is enclosed by the functions f(x) = 2x and g(x) = x³ – 2x. Find the area of this region, showi...

A: fx =2x , g(x) =x3-2x Here use formula of area of bounded region =∫ab|fx-gx |dx find  a and b here  2...

Q: (a) The sales of a book publication are expected to grow according to the function S = 300000(1 − e ...

A: Click to see the answer

Q: What is the maximum vertical distance between the line y = x + 29 and the parabola y = x² over the i...

A: Click to see the answer

Q: t 2. 3 4 A particle moves along the y-axis. The graph of the particle's position y(t) at time tis sh...

A: Velocity is defined as slope of the graph and acceleration will be positive if velocity increases , ...

Q: Evaluate the integral. 4 + x2 dx

A: Given,          ∫144+x2xdx

Q: Use the information in the table below to evaluate each limit. х -1 1 3 f(x) 6 -5 -3 -1 g(x) -8 2 -4...

A: We have, the given table as If x→1 then value of fx→-3 and of gx→1.

Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y ...

A: Click to see the answer

Q: Find all the local maxima, local minima, and saddle points of thefunctions ƒ(x, y) = x3 + 3xy2 - 15x...

A: Concept:   The calculus helps in understanding the changes between values that are related by a func...

Q: Let f(r) -z- 6z and g(r)z-6. Evaluate the following 1. (fo g)(z)= 2. (g (z)= 4. (vi(e)

A: The given function is fx=x2-6x and gx=x-6

Q: Test the series below for convergence using the Ratio Test. 7" n! n=1 The limit of the ratio test si...

A: Ratio Test:  

Q: Find the exact value of the given expression. co(2 tan-(승)) cos 2 tan

A: Click to see the answer

Q: Homework help

A: Click to see the answer

Q: Use the sum of the first 10 terms to approximate the sum S of the series. (Round your answers to fiv...

A: Click to see the answer

Q: Verify the identity. 2 x- sin2 x= 1-2 sin x cos Which of the following four statements establishes t...

A: The given identity is cos2x-sin2x=1-2sin2x     identity used: cos2x+sin2x=1cos2x=1-sin2x