anonymous
  • anonymous
Does the series converge or diverge? Summation of n!/5^n
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
dumbcow
  • dumbcow
i would say diverge factorials grow much faster than exponential functions
dumbcow
  • dumbcow
if you evaluate sum even for only first 50 terms its already at like 3 X10^29
anonymous
  • anonymous
well, you can evaluate it using the ratio test, but I'm not sure how to do all of the steps :/

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Yeah ratio test confirms divergence. In the ration test you have (n+1)!/5^(n+1) divided by original one. This breaks down to (n+1)/5. Take limit. It goes to infinity. Infinity>0 diverge

Looking for something else?

Not the answer you are looking for? Search for more explanations.