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Question
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 ______.
Options
0
– 1
1
None of these
Solution
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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