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find whether continuous or not at x=0 f(x) = |x| cos(1/x), if x<>0 0, if x=0

Calculus1
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so u need to find if the lim when x-> 0 of the function is equal to the value of the function whne x=0
yes
OK THE VALUE OF THE FUNCTION whne x= 0 is 0 and the limit of the function when x-> 0 is??

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Other answers:

did u get what is the limit for this?
Similarly I have one more problem of same type \[f(x) = |x-a| \sin(1/(x-a)), if x \neq 0\] 0 if x=0 , Find f(x) is continuous or not at x=a?
please anyone help me
use the squeeze theorem

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