[.] represents greatest integer function: (A) If f(x)=sin ^-1 x and lim _x →1^+/2 f(3 x-4 x^3)=a-...

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lim _x →π/2sin x/cos ^-1[1/4(3 sin x-sin 3 x)], (where [.] denotes greatest integer function) is:... lim _x →π/2sin x/cos ^-1[1/4(3 sin x-sin 3 x)], (where [.] denotes greatest integer function) is:...
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If f(x)=[x]-[x/4], x ∈ R, where [x] denotes the greatest integer function, then(1) Both lim _x →+... If f(x)=[x]-[x/4], x ∈ R, where [x] denotes the greatest integer function, then(1) Both lim _x →+...
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