The function $f\left( x \right) = \frac{{{{\sin }^4}x + \;{\rm{co}}{{\rm{s}}^4}\;x}}{{{x^3} + {x^4}\tan x}}$ is

JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

The function

f\left( x \right) = \frac{{{{\sin }^4}x + \;\mathrm{co}{\mathrm{s}^4}\;x}}{{{x^3} + {x^4}\tan x}}

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Correct option: B

Odd

Option B (Odd) is correct because the function satisfies the condition f(-x) = -f(x), indicating odd symmetry.

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