- #1

#### nycmathguy

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

- Relevant Equations
- Piecewise-defined Function

Use the graph to investigate the limit of f(x) as x tends to c at the number c.

See attachments.

Based on the graph of f(x), here is what I did:

lim (2x + 1) as x tends to 0 from the left is 1.

lim (2x) as x tends to 0 from the right is 0.

LHL does not equal RHL.

I conclude the limit of f(x) as x tends to c at the number c (c = 0) does not exist.

See attachments.

Based on the graph of f(x), here is what I did:

lim (2x + 1) as x tends to 0 from the left is 1.

lim (2x) as x tends to 0 from the right is 0.

LHL does not equal RHL.

I conclude the limit of f(x) as x tends to c at the number c (c = 0) does not exist.