Original
Compute
{{MATH_157}}
{{CMD_158}}
Again, this doesn't appear to be suitable for L'H{{CMD_159}}pital's Rule. A
bit of algebraic manipulation will help. Write with me
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Now set {{MATH_161}}, {{MATH_162}}. Since both
functions are differentiable for large values of {{MATH_163}} and
{{MATH_164}}
we may apply L'H{{CMD_165}}pital's rule. Write with me
{{MATH_166}}
and
{{MATH_167}}
so
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{{CMD_169}}
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