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

hello :

70y^8 + 30y^6 = 2 ( 35 y^8 + 15y^6)

the lenght is : 35 y^8

the width is : 15y^6

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12