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Convergence in mathematics ​

Convergence In Mathematics class=

Sagot :

Srlt2idn

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

Amazonldy44idn

Answer:

that looks so complicated im dropping out

Step-by-step explanation:

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