or
/ 2
we can see that the limit of f(x) as x
approaches zero from the right and from the left both
do not exist. Hence, f(x) has an essential
discontinuity at x = 0.
| f(x) = cos(1/x) |
By looking at sequences involving integer multiples of
or
/ 2
we can see that the limit of f(x) as x
approaches zero from the right and from the left both
do not exist. Hence, f(x) has an essential
discontinuity at x = 0.
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