Question: a) Suppose that f is improperly integrable on [0, ). Prove that if L = limx f(x) exists, then L = 0. b) Let Prove

a) Suppose that f is improperly integrable on [0, ˆž). Prove that if L = limx†’ˆž f(x) exists, then L = 0.
b) Let
A) Suppose that f is improperly integrable on [0, ˆž).

Prove that f is improperly integrable on (0, ˆž) but limx†’ˆž, does not exist.

f(x)=10 otherwise.

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