Let f(x) = \frac{3}{2\pi - 7 x} .

Then the slope of the tangent line to the graph ofy=f(x)
at the point \left(\pi,-\frac{3}{5\pi}\right)

is the limit asx tends to of the following
expression
.

The value of this limit is .

It follows that the equation of the tangent line isy = .

Then the slope of the tangent line to the graph of

is the limit as

The value of this limit is

It follows that the equation of the tangent line is

You can earn partial credit on this problem.