FunctionHard
Question
Function f(x) = sin x + tan x + sgn (x2 - 6x + 10) is
Options
A.periodic with period 2π
B.periodic with period π
C.Non-periodic
D.periodic with period 4π
Solution
f(x) = sin x + tan x + sgn (x2 - 6x + 10)
f(x) = sinx + tan x + sgn ((x - 3)2 +1)
f(x) = sin x + tan x + 1
period = L.C.M. (2π, π) = 2π
f(x) = sinx + tan x + sgn ((x - 3)2 +1)
f(x) = sin x + tan x + 1
period = L.C.M. (2π, π) = 2π
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