Question

Find lim x→∞ h(x), if it exists.?

Answer 1

a) Does not exist
b) 2
c) 0

Explanation:

`f(x) = 2x^2+2x+5`

Thus
`f(x)/x = 2x+2+5/x`
which diverges as `x to infty`

`f(x)/x^2 = 2+2/x+5/x^2`
which has a limit of 2 as `x to infty` (both `2/x` and `5/x^2` vanish in this limit)

`f(x)/x^3 = 2/x+2/x^2+5/x^3 to 0` as `x to infty`