 that passes through the same
      point, has the same slope, and the same concavity as
      $f(x)=e^x$ does at $x=1$.</li>

      <li>Find a second degree polynomial written in the form
        <span class="marginpar">
          Notice that we just replaced $x$ with $x-1$. This
          centers, or shifts, the approximation to be at $x=1$. The
          first part will be much simpler now when you let $x=1$.
        </span>
      $$S(x)=a+b(x-1)+c(x-1)^2$$
      so that $S(1)=f(1)$, $S'(1)=f'(1)$, and
 