For which pair of functions f(x) and g(x) below will the limit as x goes to infinity of the quotient of f of x and g of x equals 0 ?

a. f(x) = x3; g(x) = ln(x)

b. f(x) = x-2; g(x) = e-x

c. f(x) = x5; g(x) = ex

d. f(x) = ex; g(x) = x3

Come up with a new linear function that has a slope that falls in the range 10 m − < < . choose two different initial values. for this new linear function, what happens to the function’s values after many iterations? are the function’s values getting close to a particular number in each case?

Tom had a total of $220 and he spent $35 on a basketball ticket . what percent of his money did he have left?

Using inductive reasoning, what is the next two numbers in this set? 1,-7,13,-19 i got the numbers 14,-26 is that right?