## anonymous 3 years ago find whether continuous or not at x=0 f(x) = |x| cos(1/x), if x<>0 0, if x=0

1. anonymous

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

2. anonymous

yes

3. anonymous

OK THE VALUE OF THE FUNCTION whne x= 0 is 0 and the limit of the function when x-> 0 is??

4. anonymous

did u get what is the limit for this?

5. anonymous

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?

6. anonymous