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Show-that-lim-x-0-x-x-does-not-exist-




Question Number 184798 by Spillover last updated on 11/Jan/23
Show that   lim_(x→0)  (x/(∣x∣))  does not exist
Showthatlimx0xxdoesnotexist
Commented by MJS_new last updated on 11/Jan/23
x→0^− : (x/(∣x∣))=(x/(−x))=−1  x→0^+ : (x/(∣x∣))=(x/x)=+1
x0:xx=xx=1x0+:xx=xx=+1

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