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If f(x) = x sin(1/x) when x ≠ 0 = 0, when x = 0 then test the continuity of f(x) at x = 0.

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If f(x) = x sin(1/x) when x ≠ 0 = 0, when x = 0 then test the continuity of f(x) at x = 0. 

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Best answer

Here,

Hence f(x) is continuous at x 

= 0.

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