Question

What is the limit of `(sqrt x) / (x + 4)` as x approaches infinity?

Answer 1

0

Explanation:

`lim to` infinity of the ratio of `x^m/x^n` is 0 or infinity, according as, when m < or < n. .
Divide by `sqrtx` both numerator and denominator. The function becomes
`1/(sqrtx + 4/sqrtx)`
As `xto` infinity, the limit is 1`/`(infimity + 0) = 0.