# Is the function #f(x) =x sin x# even, odd or neither?

That function is even.

So

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The function ( f(x) = x \sin(x) ) is neither even nor odd.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you know if #(3x) / (4-x^2) # is an even or odd function?
- How do you determine whether the graph of #f(x)=1/(5x)-x^19# is symmetric with respect to the origin?
- How do you find the vertical, horizontal or slant asymptotes for #x/(x^2+ 5x +6)#?
- What is the inverse function of #10=y-2x^2#?
- How do you find the Vertical, Horizontal, and Oblique Asymptote given #h(x)=(x^2-4 )/( x )#?

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