Question: ssume lim x f ( x ) = 0 and assume both a 0 f ( x ) dx and a f ( x )

ssume lim
x f (x)=0 and assume both
a
0 f (x) dx and
a f (x) dx converge. Determine if
the following integrals converge, diverge, or if it is inconclusive. Assume 0< g < f for x > a
and 0< f < g for x < a. Be sure to provide the reasoning for your answer.

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