Question

Use the given graph to determine the limit, if it exists.

A coordinate graph is shown with an upward sloped line crossing the y axis at the origin that ends at the open point 3, 1, a closed point at 3, 7, and a horizontal line starting at the open point 3, 3.

Find limit as x approaches three from the left of f of x..

Answer 1

The limit as x approaches 3 from the left is observed based on the upward sloping line. If we observe beginning from x = 2 to x = 2.5 to x = 2.9, drawing closer to 3, we can see that it approaches the point (3, 1), so the limit is the y-value of 1.

The point at (3,1) being hollow does not matter, since we are only asking for the limit as x approaches 3, not the value at x = 3.