jjburrow82
jjburrow82 jjburrow82
  • 04-05-2021
  • Mathematics
contestada

Convergence in mathematics ​

Convergence in mathematics class=

Respuesta :

srlt2
srlt2 srlt2
  • 04-05-2021

Answer:

Converges to [tex]\frac{\sqrt{\pi }}{2}[/tex]

Step-by-step explanation:

[tex]\int _0^{\infty \:}e^{-x^2}dx[/tex] = [tex]\lim_{b \to \infty}[/tex] [tex]\int _0^{b \:}e^{-x^2}dx[/tex] =  [tex]\frac{\sqrt{\pi }}{2}[/tex]

steps:

write improper integral as a limit

solve integral

apply limit

If limit exists and this number is finite, the improper integral converges

Answer Link
amazonldy44
amazonldy44 amazonldy44
  • 06-05-2021

Answer:

that looks so complicated im dropping out

Step-by-step explanation:

Answer Link

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