Answer:
For
x < 0, f (x) .
Since
sine and polynomial functions are continuous, therefore quotient of two
continuous function f is also continuous.
Now
for x > 0, f(x) = x +1, is a polynomial function and is continuous.
is
continuous everywhere except possible at
x
= 0.
At
x = 0
Also
f(0) = 0 + 1 = 1
Since
LHL = RHL = f(0)
is
continuous at x = 0
Hence
there is no point of discontinuity.
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