We are given a function and we are asked:
[tex]\lim _{x\rightarrow6+}f(x)[/tex]This is the limit of the function when x approaches 6 from the right. We notice that the function tends to 5 as the values of "x" approach 6 from the right, therefore:
[tex]\lim _{x\rightarrow6+}f(x)=5[/tex]We can see this in the following diagram: