Looks like your function is
Rewrite it as
Recall that for 
, we have
If we replace 
with 
, we get
By the ratio test, the series converges if
Solving for gives the interval of convergence,
We can confirm that the interval is open by checking for convergence at the endpoints; we'd find that the resulting series diverge.
Answer:
Dream Destination Hawaii Number of Nights 4 Expense Total budgeted for each expense for the entire trip Round-Trip Airfare Airline 5,000 Cost per ticket dont know (you can use orbitz.com, kayak.com, or expedia.com) Lodging (Circle one) Hotel or Airbnb Cost per night dont know (you can check hotel prices on hotels.com and short-term vacation rentals on airbnb.com) Transportation (circle one) Car rental is $45 per day total Uber/taxis are $30 per day total Subway/buses are $10 per day total Food he (write your best estimate) Miscellaneous (museums, concerts, tips for servers, souvenirs, etc.) we (write your best estimate) Total $ ,780 Are you within your budget? yes If not, reduce one expense or the number of nights you’re staying above.
Step-by-step explanation:
5.09 because 2 is less then 5 so you round down
