If is continuous on and diverges, then
Chapter 8, Problem 86(choose chapter or problem)
True or False? In Exercises 85–88,determine whether the statement is true or false. If it is false,explain why or give an example that shows it is false.
If f is continuous on \([0, \infty)\) and \(\int_{0}^{\infty} f(x) d x\) diverges, then \(\lim _{x \rightarrow \infty} f(x) \neq 0\).
Text Transcription:
int^infinity_0 f(x) dx
lim_x rightarrow infinity f(x) neq 0
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