## avshvk Group Title find whether continuous or not at x=0 f(x) = |x| cos(1/x), if x<>0 0, if x=0 one year ago one year ago

1. julian25 Group Title

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. avshvk Group Title

yes

3. julian25 Group Title

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

4. avshvk Group Title

did u get what is the limit for this?

5. avshvk Group Title

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. avshvk Group Title