Question

find the limit.

Answer 1

\[ \lim_{x \rightarrow infinity} (1-9x)^1/x\]

Answer 2

that is raised to the 1/x

Answer 3

taking a limit @ infinity is basically asking about the end behaviour of a graph. What is its horizontal asymptotes?

as x -> infinity, 1/x will get smaller and smaller approaching 0.

it will eventaully get to \[(1-9(\infty))^0\]

so in this case, your limit will evaluate to 1. However this can only be said because 1/x grows faster than a linear equation IE (1-9x)

Answer 4

so would the limit be infinity?

Answer 5

The limit is 1, you are evaluating it @ infinity

Answer 6

ok thanks alot