Original
From our diagrams above we see that
{{MATH_83}}
and computing these areas we find
{{MATH_84}}
Multiplying through by {{MATH_85}}, and recalling that {{MATH_86}} we obtain
{{MATH_87}}
Dividing through by {{MATH_88}} and taking the reciprocals
(reversing the inequalities), we find
{{MATH_89}}
Note, {{MATH_90}} and {{MATH_91}}, so these inequalities hold for all {{MATH_92}}. Additionally, we know
{{MATH_93}}
and so we conclude by the Squeeze Theorem, {{MATH_94}}.
{{CMD_95}}
{{CMD_96}}