Answer:
For
x < 0 and x > 0, f (x) = x2 sin , f is
product of a polynomial and sine function.
Since
polynomial and sine functions are continuous function.
Therefore
f is also continuous.
At
x = 0
As
and is bounded
function between
?1 and 1.
and g (x)
is bounded function.
Also
f(0) = 0
Since
is
continuous at x = 0
Hence
f is a continuous function.
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