The set of all points of discontinuity of the function $$f(x)=$$$$tan$$⁡xlog⁡$$x1$$−$$cos$$⁡$$4x$$ contains

Correct option is 3−∞,0∪nπ2:n∈N

Questions

$The set of all points of discontinuity of the function f (x) = \frac{\tan x \log x}{1 - \cos 4 x} contains$

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2π2:n∈Q

2π2:n∈Z

−∞,0∪nπ2:n∈N

None of these

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detailed solution

Correct option is C

f(x)=tan⁡xlog⁡x1−cos⁡4x 1-cos4x≠0⇒cos4x≠1 ⇒4x≠2nπ⇒x≠nπ2, n∈N logx⇒x>0 dis continuous at x∈(-∞,0]∪nπ2, n∈N

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The set of all points of discontinuity of the function f(x)=tan⁡xlog⁡x1−cos⁡4x contains

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$The set of all points of discontinuity of the function f (x) = \frac{\tan x \log x}{1 - \cos 4 x} contains$