Given that the tangent line to the graph of at (0,0) has equation and that has a horizontal asymptote at with equation , find the value of
I'm not any sort of an expert at limits, but this looks so I'm going to take a shot at it.
First since we know that
Thus
Next we have . We know that since the tangent line to y = f(x) at x = 0 is 2y = x. Thus the limit is of the form and we may apply L'Hopital's rule:
(Because near x = 0.)
Thus
-Dan