question_answer 1)

Find all points of discontinuity of  

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.