Question

Let P be a point on the graph of

y=e−x2/20


with NONZERO x-coordinate a. The normal line to the graph through P will have y-intercept b. (Note: The normal line at P is perpendicular to the tangent line at P.)

Answer 1

Find lim a->0 b=?

Find lim a-> infinity b=?

Answer 2

\[y=e ^{(x^2)/20}\]