Refer to Problem 23. Does the line tangent to the graph of f(x) = ex at x = 1 pass through the origin? Are there any other lines tangent to the graph of f that pass through the origin? Explain.
Problem 23
A student claims that the line tangent to the graph of f(x) = ex at x = 3 passes through the point (2,0) (see the figure). Is she correct? Will the line tangent at x = 4 pass through (3,0)? Explain.

fu) 40 -10