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If f(x) = x2sin 1x where x ≠ 0, then the value of the function f at x = 0, so that the function is continuous at x = 0, is ______. - Mathematics

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प्रश्न

If f(x) = `x^2 sin  1/x` where x ≠ 0, then the value of the function f at x = 0, so that the function is continuous at x = 0, is ______.

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उत्तर

If f(x) = `x^2 sin  1/x` where x ≠ 0, then the value of the function f at x = 0, so that the function is continuous at x = 0, is 0.

Explanation:

Given that: f(x) = `x^2 sin  1/x` where x ≠ 0

So, the value of the function f at x = 0

So that f(x) is continuous is 0.

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अध्याय 5: Continuity And Differentiability - Exercise [पृष्ठ ११४]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 5 Continuity And Differentiability
Exercise | Q 88 | पृष्ठ ११४

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