If f x = x 3 + x + 1 t a n π x (where, x represents the greatest integer part of x ), then

Question

If f x = x 3 + x + 1 t a n π x (where, x represents the greatest integer part of x ), then, domain of f x is R - 2 n + 1 π 2 , n ∈ Ι, range of f x ∈ R, f x is an even function, f x is a non-periodic function

MARKS App · Accepted Answer

∀ x ∈ R ⇒ x is an integer ∴ π x = n π , n ∈ Ι and tan π x = t a n n π = 0 ∴ f x = 0 ∀ x ∈ R ∴ f x is an even function

Search any question & find its solution

Looking for more such questions to practice?