avshvk
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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julian25
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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

avshvk
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yes

julian25
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OK THE VALUE OF THE FUNCTION whne x= 0 is
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and the limit of the function when x> 0 is??

avshvk
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did u get what is the limit for this?

avshvk
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Similarly I have one more problem of same type
\[f(x) = xa \sin(1/(xa)), if x \neq 0\]
0 if x=0 , Find f(x) is continuous or not at x=a?

avshvk
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please anyone help me

Zarkon
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use the squeeze theorem