Question

Determine the interval on which the function is continuous f(x)=sin(1/x) if x is not equal to 0 and f(x)=0 if x=0

Answer 1

Hey frnd
your answer is here
given that f(x) = 0 when x = 0
first we check continuity at x = 0
for x not equal 0 f(x) = sin(1/x)
we know that when x tends to zero lim of
sin(1/x) does not exist
for x not equal zero given function is continuous every where
so given function is continuous in interval
R-{0}

Hope this help you

Thanks

Be Brainly