Question

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Answer 1

We are asked to determine what happens to the values of
`f(x)` as
`x` approaches
`2` using values of
`x` less than
`2` AND using values of
`x` greater than
`2` .

Observe from the graph that as
`x` approaches
`2` from the left or the right, the values of
`f(x)` increase without bound.

Therefore, we know the following.


`\text{lim} \ f(x) = +\infty}`

Answer 2

The limit f(x) is given as option A. +∞. This is because the growth that is seen is unbounded growth

How to get the limit

We're examining how the values of f(x) behave as x approaches 2, considering values less than 2 and greater than 2. Observing the graph, as x gets closer to 2 from either side (left or right), it's noticeable that the values of f(x) keep rising indefinitely without any specific limit.

From the graph, as x approaches 2 from either side, the values of f(x) demonstrate unbounded growth."

Hence the answer is given as The limit f(x) is given as option A. +∞