Jxf (x)sin 3x3 , ĺŻĺŻx=0. – InterviewSolution

InterviewSolution

1.

Jxf (x)sin 3x3 , ĺŻĺŻx=0.

Answer»

f(x) = x/sin3x , when x ≠ 0

we know that when x→ 0, tye sinnx/x tends to n

so sin3x/x → 3

=> f(x) = x/sin3x = 1/3 , x≠0

and f(x) = 3 , when x = 0

SO, both are not equal , hence the function is discontinuous at x = 0

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