Question

$\underset{x\to a}{lim}f\left(x\right)$ will be closer to $f(a+2)thanf(a+3)$.

• A. True
• B. False

Answer 1

The correct option is B

False

If the function we are considering behaves tha same way in the interval [a-3,a+3], the given

statement can be true. But if the function changes its behaviors considerably in that interval then we can't say anything about it.

Consider the function with the following graph.

In this case, $\underset{x\to a}{lim}f\left(x\right)isclosetof(a+3)thanf(a+2)$

So the given statement is not always true.