Original
If this limit exists, then we should be able to look sufficiently
close, but not at, {{MATH_112}}, and see that {{MATH_113}} is approaching some number.
Let's look at a graph:
{{CMD_114}}
{{ENV_115}}
{{CMD_116}}
If we look at what happens for {{MATH_117}} values getting closer and closer to {{MATH_118}}, but staying on the left-side of 2, we see
that {{MATH_119}}. However, if we allow the values of {{MATH_120}} getting closer and closer to {{MATH_121}}, but staying on the right-side of 2,
we see
{{CMD_122}}
{{ENV_123}}
{{CMD_124}}
That is, for values of {{MATH_125}} close to {{MATH_126}} but larger than {{MATH_127}}, {{MATH_128}}. We cannot find a single
number that {{MATH_129}} approaches as {{MATH_130}} approaches 2, and so the
limit does not exists.
{{CMD_131}}
{{CMD_132}}