- #1

#### nycmathguy

- Homework Statement
- Use the graph of f(x) to investigate limit.

- Relevant Equations
- Piecewise Function

Use a graph to investigate limit of f(x) as

x→c at the number c.

Note: c is given to be 2. This number comes from the side conditions of the piecewise function.

See attachments.

lim (x + 2) as x tends to c from the left is 2.

lim x^2 as x tends to c from the right is 4.

LHL does not equal RHL.

Thus, the limit does not exist.

Note: If my graph is wrong, can someone please graph f(x)? I will then try again.

Thanks

x→c at the number c.

Note: c is given to be 2. This number comes from the side conditions of the piecewise function.

See attachments.

lim (x + 2) as x tends to c from the left is 2.

lim x^2 as x tends to c from the right is 4.

LHL does not equal RHL.

Thus, the limit does not exist.

Note: If my graph is wrong, can someone please graph f(x)? I will then try again.

Thanks