# How do you use the definition of continuity and the properties of limits to show the function is continuous #F(x)= x+sqrt(x-1)# on the interval [1, inf)?

##### 1 Answer

Feb 9, 2017

see below

#### Explanation:

For

We need to show that

Since

F is continuous at x = a for every a in

We also need to show that

Since

every a in