Question: Let f be a nonnegative continuous function defined on 0 ( x Show that (a) If limx( f(x) exists it must be 0; (b) It

Let f be a nonnegative continuous function defined on 0 ( x
Let f be a nonnegative continuous function defined on 0

Show that
(a) If limx†’( f(x) exists it must be 0;
(b) It is possible that limx†’( f(x) does not exist.

Roa f(x) dx < 00,

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