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a) (10 pts) 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 4:36 pm
by answerhappygod
- A 10 Pts 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 (14.47 KiB) Viewed 32 times
a) (10 pts) 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.)