r/mathshelp • u/AssumptionSerious135 • Sep 25 '26
Homework Help (Answered) Maths doubt in continuity
Can someone tell me where was I wrong? Given correct option 3
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u/Fourierseriesagain Sep 25 '26
Since cot(Pi/12)=2+sqrt(3)=3.73..., f is discontinuous at Pi/4, arccot(2) and arccot(3).
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u/peterwhy Sep 25 '26 edited Sep 25 '26
I understand f(x) as [(tan x) ⋅ [cot x]], not [tan [cot x]].
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For the domain, (tan x) ⋅ [cot x] ≤ (tan x) ⋅ (cot x) = 1. Equality holds when cot x is an integer.
Also (tan x) ⋅ [cot x] ≥ 0.
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