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Test: Limits And Derivatives - 1 - Question 3

Let f (x) = x sin 1/x, x ≠ 0, then the value of the function at x = 0, so that f is continuous at x = 0, is

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Test: Limits And Derivatives - 1 - Question 4

The positive integer n so that limx→3 (x^{n} – 3^{n})/(x – 3) = 108 is

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then for f to be continuous at x = 0, f (0) must be equal to

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