Question

\[ \lim_{x \rightarrow \infty} 3/x\]

Answer 1

zero.

Answer 2

can you explain to me how limits work?

Answer 3

sure. imagine x is a really big number. say 1,000,000
then
\[\frac{3}{x}=\frac{3}{1,000,000}=0.000003\] a number very close to 0

Answer 4

and as you can imagine, as x gets bigger and bigger this number gets closer and closer to 0
as close as you like

Answer 5

don't know if that helped, but maybe you can visualize it. huge denominator, little tiny number

Answer 6

so if you have an indefinite limit again what would you do if the fraction were
(2x-5)/(x^2-5x-3)