Question

As the value of x increases, which of the following functions would eventually exceed to the other three?

Answer 1

$x\ \ \ \ \ \ \ \ |\ \ \ \ \ 0\ \ \ \ |\ \ \ \ \ 1\ \ \ \ \ \ |\ \ \ \ \ 10 \ \ \ \ \ |\ \ \ \ \ \ 100\ \ \ \ \ \ |\\-----------------------\\1000x\ \ |\ \ \ \ 0\ \ \ \ \ |\ \ \ 1000\ \ \ | \ \ \ 10000 \ \ \ |\ \ \ \ 100000\ \ \ \ |\\-----------------------\\100x^2\ \ |\ \ \ \ 0\ \ \ \ \ |\ \ \ \ 100\ \ \ \ | \ \ \ 10000 \ \ \ |\ \ 1000000\ \ \ \ |\\-----------------------\\50x^3\ \ \ |\ \ \ \ 0\ \ \ \ \ |\ \ \ \ \ 50\ \ \ \ \ | \ \ \ 50000 \ \ \ |\ \ 50000000\ \ \ |\\-----------------------$
$2^x\ \ \ \ \ \ |\ \ \ \ 1\ \ \ \ \ |\ \ \ \ \ \ 2\ \ \ \ \ \ | \ \ \ \ 1024 \ \ \ |\ \ \ \ 1024^{10}\ \ \ \ \ |$

$if\ x\ \rightarrow\ +\infty\ \ \ then$

$f_1(x)$