For each of the following, find all values of p R for which f is improperly
Question:
a) f(x) = 1/xp I = (l, ∞)
b) f(x) = l/xp, I = (0, 1)
c) f(x) = 1/(x logp x), I = (e, ∞)
d) f(x) = 1/(1/ xp), I = (0, ∞)
e) f(x) = loga x/xp, where a > 0 is fixed, and I = (1, ∞)
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a If p 1 then 1 1 dxx p x 1p 1 p 1 1 Now x 1p has a finite limit as x 1 if and only if 1p 0 ie p 1 W...View the full answer
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