Question: Explain why lim x3 x 2 - 7x + 12/x - 3 = lim x3 (x - 4).

Explain why limx→3 x2 - 7x + 12/x - 3 = limx→3 (x - 4).

Step by Step Solution

★★★★★

3.29 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Because we can see that the graphs of these two functions are the ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus Early Transcendentals Questions!

Q:

The signum (or sign) function, denoted by sgn, is defined by (a) Sketch the graph of this function. (b) Find each of the following limits or explain why it does not exist. (i) limx→0+ sgn x (ii)...

Q:

For the function f whose graph is given, state the value of the given quantity, if it exists. If it does not exist, explain why. (a) limx→0 f(x) (b limx→3 f(x) (c) limx→3+ f(x) (d)...

Q:

Use the given graph of f to state the value of each quantity, if it exists. If it does not exist, explain why. (a) limx→1- f(x) (b) limx→1+ f(x) (c) limx→1 f(x) (d) limx→5 f(x)...

Q:

Explain why lim x-3 x - 7x + 12 x - 3 lim (x - 4). x-3

Q:

evaluate limit 1 V2x2+ 1 - 3 lim 20 - 227-3 - 4.7-2 - 6x lim x-3 3 2 - 7x - 6

Q:

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. x? 9 lim x3 X - 3 lim (x + 3)

Q:

Limits 1) Identify where each of the following graphs is discontinuous, using limits to support your answer. State whether the discontinuity is a jump, infinite, or removable discontinuity. 2 2 -8...

Q:

Express the edge length of a cube as a function of the cube's diagonal length d. Then express the surface area and volume of the cube as a function of the diagonal length. A function for the edge...

Q:

please zoom question 1 up to see x3 - 2x2 + x 2x2 - 5x - 3 lim 4 . lim the x2 - 1 x - 3 question x4 - 16 5 . clearly 2. ex - 1 lim X-2 x - 2 Vx+ 6 -x ex - ex lim 3 . lim 6 x - 3 evaluate the...

Q:

please zoom question 1 up to see x3 - 2x2 + x 2x2 - 5x - 3 lim 4 . lim the x2 - 1 x - 3 question x4 - 16 5 . clearly 2. ex - 1 lim X-2 x - 2 Vx+ 6 -x ex - ex lim 3 . lim 6 x - 3 evaluate the...

Q:

Explain the difference between sales revenue and net sales.

Q:

For a Gaussian random variable, derive expressions for the coefficient of skewness and the coefficient of kurtosis in terms of the mean and variance, and 2.

Q:

Suppose the state requires hairdressers and manicurists to pass a series of exams to be certified cosmetologists. How does this policy change the supply of cosmetologists, the equilibrium wage, and...

Q:

9. How might telemarketing be used when accounts are covered by distributors?

Q:

Find the sum of the series. a. b. c. 3) 2 [tan-l(n + 1)-tan-in] 2! 3! 4!

Q:

Show that cosh x ( 1 + x2 for all x.

Q:

Find the sum of the series Correct to four decimal places. 1)a+1

Q:

Explain with real life examples how budgeting assists in the following functions. a. Controlling b. Planning

Q:

Please help me with all parts (a,b,c,d) Finding operating and free cash flows Consider the balance sheets and selected data from the income statement of Keith Corporation that follow a. Calculate the...

Q:

"Boy, this is all so confusing," said Ryan as he stared at the papers on his desk. If only I had taken the advice of my finance instructor, I would not be in such a predicament today." Ryan Daniels,...