Show the function is continuous!

[From: ] [author: ] [Date: 11-11-13] [Hit: ]

F(X) = (x)(Sin 1/x) at x does not equal 0
F(X) = 0 at x equals 0

Show F(X) is continous at x = 0

Show
lim F(X) = F(0)
x→0

Hint: Use the squeeze theorem.

keywords: continuous,function,the,Show,is,Show the function is continuous!