Question

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

Find limit as x approaches three from the right of f of x.

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}`