In JavaScript, NaN has some special properties:

NaN is not equal to anything, including itself.

Equality operators (==, ===) do not work for detecting NaN.

Check each option:

A. value === Number.NaN

Number.NaN is just NaN.

But NaN === NaN is always false.

So this expression is never true and cannot be used to detect NaN.

B. value == NaN

Same issue. NaN == NaN is always false.

So this also never detects NaN.

C. Object.is(value, NaN)

Object.is is a more precise equality comparison method.

It treats NaN as equal to NaN: Object.is(NaN, NaN) is true.

So Object.is(value, NaN) is a valid way to detect NaN.

D. value !== value

Because NaN is the only JavaScript value that is not equal to itself , value !== value is true only when value is NaN.

This is a classic trick for NaN detection.

E. Number.isNaN(value)

Number.isNaN is the recommended modern way to check if a value is NaN without coercion .

It returns true only if value is actually the number NaN.

Therefore, the three correct ways are:

Object.is(value, NaN)

value !== value

Number.isNaN(value)