Do removable discontinuities exist? See Exercises 1-1.
Exercise 1
Is the discontinuity at a in graph (c) removable? Explain.
Exercise 2
Is the discontinuity at a in graph (d) removable? Explain.
a. Does the function f(x) = x sin (1/x) have a removable discontinuity at x = 0?
b. Does the function g(x) = sin (1/x) have a removable discontinuity at x = 0?
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