If 'f' be a bounded, differentiable and increasing function then lim x → 0 [ f ( sin x . tan x ) − f ( x 2 ) ] , where [.] is greatest integer function is equal to

Question

If 'f' be a bounded, differentiable and increasing function then lim x → 0 ​ [ f ( sin x . tan x ) − f ( x 2 ) ] , where [.] is greatest integer function is equal to

TestHub · Accepted Answer

since sin x . tan x > x 2 ∀ x ∈ ( 0 , π /2 ) so, f ( sin x ⋅ tan x ) > f ( x 2 ) hence required limit is 0 .

Mathematics - Limits Question with Solution | TestHub

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