Sketch the graph of the function

Assignment Help Mathematics

Reference no: EM13905583

1. (a) Sketch the graph of the function y = √(x-1)-1, stating the domain clearly.

(b) Determine whether the given function y = x(x² + 1/x²)/(x² - 2) is even, odd, or neither. Justify your answer.

(d) Find lim_{x→2 (}√(x² + 12) -4)/(x - 2)

(e) If, lim_x→2 f(x)/x² =1 find

(i) lim_x→2 f(x)
(ii) lim_x→2 f(x)/x

2. (a) Prove using ε and δ definition that lim_x→9 √(x -5) =2.

(b) Find lim_x→0xsinx/2-2cosx

Reference no: EM13905583

Questions Cloud

Using your accounting knowledge : Using your accounting knowledge, fill in the blanks in the following separate income statements a through e.

Which is most persuasive in explaining the global economy : Which is the most persuasive in explaining the global economy?

What is the principle of an inventory control system : What Is the Principle of an Inventory Control System? What are the goals and objectives of an Inventory Control System? What is a Push Inventory System? What is a Pull Inventory System?

Fields for the type of team : Create a small Sports database with two tables: Team and Athlete. The Team table should include fields for the type of team (e.g., basketball), coach's name (both last and first), and the season the sport is most active (S for spring, F for Fall, ..

Sketch the graph of the function : Sketch the graph of the function y = √(x-1)-1, stating the domain clearly - Give an example of a function that is even and odd.

Should hank send his client the bill in december or january : Assume his marginal tax rate is 30 percent this year and will be 40 percent next year, and that he can earn an after-tax rate of return of 12 percent on his investments. Should Hank send his client the bill in December or January?

Decided to open sporting goods store : Jeb and Josh are lifelong friends. Jeb is a wealthy wind-power tycoon, and Josh is an active outdoor enthusiast. They have decided to open a sporting goods store, Arcadia Sports, using Jeb’s considerable financial resources and Josh’s extensive knowl..

What is the required magnetic field : A cyclotron with a radius of 1.0 m is to accelerate deuterons to an energy of 12 Mev. what is the required magnetic field and what frequency is needed for the voltage between the dees ?

Should manny send his client the bill in december or january : Assume Manny's marginal tax rate is 40 percent this year and next year, and that he can earn an after-tax rate of return of 12 percent on his investments. Should Manny send his client the bill in December or January?

User Account

All Pages