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Limit solving without using series

 
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Feb14-13, 07:04 AM   #1
 

Limit solving without using series


Any way to solve the following limit without using series:

lim (3^x (3*(x^2)+2) / (7+x)! when x->infinity

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Feb14-13, 07:28 AM   #2
 
You could start with Stirling's approximation.
Feb14-13, 02:48 PM   #3
 
You can easily squeeze that. 3*x^2+2<=3^x from some point on.
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