Which function has a removable discontinuity?

1 answer:

5 0

"f(x)=(5x)/(x-x²)" is the one function among the following choices given in the question that <span>has a removable discontinuity. The correct option among all the options that are given in the question is the third option or option "C". It is the only function having a term cancelling out each other at the top and the bottom. </span>

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Step-by-step explanation:

We are asked to prove whether $\text{sin}(x)$ is even or odd.

We know that a function $f(x)$ is even if $f(x)=f(-x)$ and a function $f(x)$ is odd, when $f(-x)=-f(x)$ .

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Upon looking at our attachment, we can see that $\text{sin}(x)$ is symmetric with respect to origin, therefore, $\text{sin}(x)$ is an odd function.