2. Show that if lim f(x) = L, then lim f(ax) = L, for any a + 0. (Hint: Let e > 0. If d1 works for the first limit, then d = works for the second limit.)

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2.
Show that if lim f(x) = L, then lim f(ax) = L, for any a + 0.
x→0
(Hint: Let e > 0. If d1 works for the first limit, then :
limit.)
works for the second
Transcribed Image Text:2. Show that if lim f(x) = L, then lim f(ax) = L, for any a + 0. x→0 (Hint: Let e > 0. If d1 works for the first limit, then : limit.) works for the second
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