Need help with a math problem. Quite Urgent. Thanks (Just solve)

[roll6663]

 

[Deleted member 4993]

View attachment 31176

Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem.

 

[BigBeachBanana]

View attachment 31176

For the first term, I would use the ratio test on the summation.
For the second term, the integrand is not an elementary function. What have you learned to deal with such integral?

 

[pka]

Use the property of even functions:
[imath]\large\displaystyle \int_{-\infty }^\infty {{e^{ - {t^2}}}dt} = 2\int_0^\infty {{e^{ - {t^2}}}dt} [/imath]

 

[Deleted member 4993]

Use the property of even functions:
[imath]\large\displaystyle \int_{-\infty }^\infty {{e^{ - {t^2}}}dt} = 2\int_0^\infty {{e^{ - {t^2}}}dt} [/imath]

Also Error function.