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

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1. julian25

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

yes

3. julian25

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

4. avshvk

did u get what is the limit for this?

5. avshvk

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

please anyone help me

7. Zarkon

use the squeeze theorem

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