What is the parity f(x)=(xcos(x))/(x^2+cot(x)) ?

The parity f(x)=(xcos(x))/(x^2+cot(x)) is Neither even nor odd

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parity f(x)=(xcos(x))/(x^2+cot(x))

parity

f (x) = \frac{x cos ( x )}{x ^{2} + cot ( x )}

Neither even nor odd

Solution steps

f (- x) : - \frac{x cos ( x )}{x ^{2} - cot ( x )}

- f (x) : - \frac{x cos ( x )}{x ^{2} + cot ( x )}

Check parity of

\frac{x cos ( x )}{x ^{2} + cot ( x )}

Check if Even:

False

Check if Odd:

False

Neither even nor odd

2^{x}

(3, 0), (- 2, - 5)

f (x) = \frac{2 x ^{3} - 8 x}{x ^{3} + 2 x ^{2}}

f (x) = \frac{4 x - 8}{x + 3}

What is the parity f(x)=(xcos(x))/(x^2+cot(x)) ?
The parity f(x)=(xcos(x))/(x^2+cot(x)) is Neither even nor odd