Original
Compute
{{MATH_120}}
{{CMD_121}}
{{ENV_122}}
{{COMMENT_123}}
{{COMMENT_124}}
{{CMD_125}}
{{CMD_126}}
The function {{MATH_127}} grows very slowly, and seems like it may have a
horizontal asymptote, see the graph above. However, if we consider the
definition of the natural log as the inverse of the exponential
function
{{CMD_128}}{{COMMENT_129}}
{{MATH_130}} means that {{MATH_131}} and that {{MATH_132}} is positive.
{{CMD_133}}
We see that we may raise {{MATH_134}} to higher and higher values to obtain
larger numbers. This means that {{MATH_135}} is unbounded, and hence
{{MATH_136}}.
{{CMD_137}}
{{CMD_138}}