Original
Consider the graph of {{MATH_91}}.
{{CMD_92}}
{{ENV_93}}
{{COMMENT_94}}
{{COMMENT_95}}
{{COMMENT_96}}
{{COMMENT_97}}
{{COMMENT_98}}
{{CMD_99}}
Explain why the limit
{{MATH_100}}
does not exist.
{{CMD_101}}
The function {{MATH_102}} is the function that returns the
greatest integer less than or equal to {{MATH_103}}. Recall that
{{MATH_104}}
if {{MATH_105}} can be made arbitrarily close to {{MATH_106}} by making
{{MATH_107}} sufficiently close, but not equal to, {{MATH_108}}. So let's examine {{MATH_109}}
near, but not equal to, {{MATH_110}}. Now the question is: What is {{MATH_111}}?