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प्रश्न
The value of k which makes the function defined by f(x) = `{{:(sin 1/x",", "if" x ≠ 0),("k"",", "if" x = 0):}`, continuous at x = 0 is ______.
विकल्प
8
1
–1
None of these
उत्तर
The value of k which makes the function defined by f(x) = `{{:(sin 1/x",", "if" x ≠ 0),("k"",", "if" x = 0):}`, continuous at x = 0 is none of these.
Explanation:
Indeed `lim_(x -> 0) sin 1/x` does not exist.
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