what is the natural log of infinity? (ln of infinity)?

Question

also explain....because, when I look at the graph, it looks like its going to 2 or somthing, but I heard it may go to infinity. The graph doesn't do justice.

Answer 1

You can't take the ln(infinity), you can only find the limit of ln(x) as x approaches infinity. The limit of ln(x) as x approaches infinity is infinity. So as x keeps getting larger and larger towards infinity, the function ln(x) keeps growing and growing [at a slower rate than x] towards infinity.

Answer 2

Infinity.

Answer 3

infinity