elizabethktistinao elizabethktistinao
  • 16-11-2019
  • Mathematics
contestada

Evaluate the limit as x goes to infinity of x^3e^-x/5

Respuesta :

bayosanuade
bayosanuade bayosanuade
  • 17-11-2019

Answer: 0

Step-by-step explanation:

[tex]\frac{x^{3}e^{-x}}{5}[/tex]

This could be written as

[tex]\frac{x^{3} }{5e^{-x} }[/tex]

Applying L'H rule and differentiating 3 times , we have

[tex]\frac{6}{5e^{x} }[/tex]

taking the limit as x goes to infinity , we have

0

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