Q.

A function f(x) is defined as f(x)=sinx,     x  is  rationalcosx,    x  is  rational   is continuous

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a

x=nπ+π/4,  n∈I

b

x=nπ+π/8,  n∈I

c

x=nπ+π/6,  n∈I

d

x=nπ+π/3,  n∈I

answer is A.

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Detailed Solution

f(x) is continuous at some x  where sinx=cosx or tanx=1  or x=nπ+π/4, n∈I
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