Question

Use the given graph to determine the limit, if it exists.

Answer 1

Good evening.


We want:

$\displaystyle\lim_{x\to 3^+}f(x)$

The function is not continuous in 3, and f(3) = 7, but, as we approach to 3 from right, we are always in f(x) = 3.

 We can approach to indefinitely close to x = 3 from right, and the function will be always in 3. Therefore, we conclude that:

$\boxed{\displaystyle\lim_{x\to3^+}f(x) = 3}$