# One-Sided Limits Exercises

### Example 1

Find the limit.

### Example 2

Find the limit.

### Example 3

Find the limit.

### Example 4

Find the limit.

### Example 5

For the function *f*(*x*) and specified value of *a*, find the left- and right-hand limits of *f*(*x*) as *x* approaches *a*.

Determine if exists, and if so state its value.

*a* = 5,

### Example 6

For the function *f*(*x*) and specified value of *a*, find the left- and right-hand limits of *f*(*x*) as *x* approaches *a*.

Determine if exists, and if so state its value.

*a* = 0,

*f*(*x*) = |*x*|

### Example 7

For the function *f*(*x*) and specified value of *a*, find the left-side and right-side limits of *f*(*x*) as *x* approaches *a*.

Determine if exists, and if so state its value.

*a* = 3,

### Example 8

For the function *f*(*x*) and specified value of *a*, find the left-side and right-side limits of *f*(*x*) as *x* approaches *a*.

Determine if exists, and if so state its value.

*a* = -10,

### Example 9

For the function *f*(*x*) and specified value of *a*, find the left-side and right-side limits of *f*(*x*) as *x* approaches *a*.

Determine if exists, and if so state its value.

*a* = 1,