JEE Advanced 2012 Mathematics question
For every integer n, let and be real numbers. Let function be given by
f(x) = ,\ for all integers n.
If f is continuous, then which of the following hold(s) for all n?
Answer: (B),(D)
Solution
Continuity at x = 2n: the left limit (from ) is , and . So , i.e. for all n: (B) true, and (A) is false. Continuity at x = 2n + 1: a_n$
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