Q$3$: We mentioned in class that plugging values into a function closer and closer to a given point might not always allow us to estimate the correct value of a limit$.$ With this idea in mind show that

$\underset{x0}{lim}tan(\frac{1}{x})$

does not exist by finding a sequence of smaller and smaller values for which the outputs of the function are always $0$ and then finding a different sequence of smaller and smaller values for which the outputs of the f