Use def. of improper integral to find int {2,infinity} [ 1/(x-2)^4 ] dx

[armn91]

Hello all,
I am trying to complete this activity. Could anyone help me out and let me know if what I am doing is correct? Thank you.

 

[Dr.Peterson]

Hello all,
I am trying to complete this activity. Could anyone help me out and let me know if what I am doing is correct? Thank you.

I tried to improve the image a little:



It looks correct, as far as I can read it. Are you saying it's divergent?

 

[armn91]

Thank you so much for your help. Yes, I said it was divergent.

 

[armn91]

One of the limits doesn't exist, therefore, the integral is divergent.