Question Number 100027 by bemath last updated on 24/Jun/20

lim_(x→0)  xsin ((1/x)) ?

Commented byjohn santu last updated on 24/Jun/20

lim_(x→0)  x = 0 & −1≤sin ((1/x))≤1  then lim_(x→0) x sin ((1/x)) = 0 ■

Commented bybobhans last updated on 24/Jun/20

yes correct . lim = 0

Answered by mathmax by abdo last updated on 24/Jun/20

∣xsin((1/x))∣≤∣x∣ ⇒lim_(x→0) xsin((1/x))=0