1.

sin 2x0If f(x) =sin 3x, when x; find whether f(x) is continuous at x = 0.2,when x =0

Answer»

The given function is f(x) = sin2x/sin3x , when x is not 0 so when x tends to 0 , the value will be of form 0/0 we will use limit limit (x->0) sin2x/sin3x = 2/3 but at x = 0 it is 2. so ,2 is not equal to 2/3. therefore discontinuous at x = 0.



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