Page 1 of 1
(a) (10pts) Let f(x)=x2+11. Explain why f(x) is continuous and positive on the interval [0,∞). Then show that f(x) is d
Posted: Thu Jul 14, 2022 4:07 pm
by answerhappygod
- A 10pts Let F X X2 11 Explain Why F X Is Continuous And Positive On The Interval 0 Then Show That F X Is D 1 (19.1 KiB) Viewed 14 times
(a) (10pts) Let f(x)=x2+11. Explain why f(x) is continuous and positive on the interval [0,∞). Then show that f(x) is decreasing on (0,∞). (b) (12 pts) Using the Integral Test and your answer to part (a), determine whether the series n=1∑∞n2+11 is convergent or divergent. (Recall that the antiderivative of f(x)=x2+11 is arctanx.)