Question

What is the answer to this limit: lim n->infinity 1/1-n?

Answer 1

is this
\[\lim_{n \rightarrow \infty}\frac{ 1 }{ 1-n }\]

Answer 2

if n gets very large, this is close to
\[ \frac{1}{-n} \]
(adding 1 to the -n hardly matters)

now what is
\[ -\frac{1}{1000} , -\frac{1}{10000000},...\]
and so on, approaching
it's easier to see in decimal form:
\[ -0.001 , -0.0000001, -0.0000000001 ...\]

Answer 3

so it is close to 0?

Answer 4

yes, the expression gets close (but never reaches) 0.
However, we say the LIMIT equals 0