[微積] 請教兩題Improper Integral的證明
f(x)=1 在區間[1,1+1/2],[2,2+1/4],[3,3+1/8],...,and f(x)=0 elsewhere
(1)show that
∞
∫0 f(x)dx converges(and is equal to 1) although f(x)不趨近於0,x→∞.
(2) ∞
Modify f to make an example of a function g such that∫0 g(x)dx converges
although g(x) does not remain bounded as x→∞.
謝謝!!! QQ
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