Question

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 ______.

Options

• 8

• 1

• –1

• None of these

Answer 1

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.