Question:medium
If
f(x)=
begincases
sin x, & when x is rational
cos x, & when x is irrational
endcases
then the function is:
If
f(x)=
begincases
sin x, & when x is rational
cos x, & when x is irrational endcases then the function is:
cos x, & when x is irrational endcases then the function is:
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Such functions are continuous only where the two defining expressions coincide.
Updated On: Mar 20, 2026
- discontinuous at x=nπ+π/4
- continuous at x=nπ+π/4
- discontinuous at all x
- none of these
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The Correct Option is A
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