is this right?

[maggie0160]

Which of the lines below is a horizontal asymptote for the graph of
y = (x^3 - 7x - 2)/(2x^3 - 1)

= y = 1 ?

 

[soroban]

Hello, maggie0160!

Which of the lines below is a horizontal asymptote for the graph of
y = (x³ - 7x - 2)/(2x³ - 1)

y = 1 ? . . . . no

A horizontal asymptote is found by taking the limit of y as x "becomes infinite".

. . . . . . . . . . . . . . . . . . . . . . . . .1 - 7/x² - 2/x³
Divide top and bottom by x³: . ------------------
. . . . . . . . . . . . . . . . . . . . . . . . . . . 2 - 1/x³

Now take the limit . . .

 

[Gene]

Look at Horizontal Asymptotes in the blue area to the right.
horizontal asymptotes are the limit as x-> oo