To show that g(x) grows slower than f(x), what is the result of the limit as x goes to infinity of the quotient of g of x and f of x

There are several assumptions that we must do in order to answer this question.

First of all, we must assume that both functions grow to infinity. In fact, if and with , you simply have

Secondly, we must assume that grows asymptotically slower than . Otherwise, you might choose

but you would have

If instead is asymptotically slower than , by definition of being asymptotically slower you have

what are the statements

step-by-step explanation:

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you