Learning Guide Learning Guide

86 • Chapter 3: Finding Solutions> Hint(%);⎡⎢⎣rewrite,xx + 1 = 11 + 1 x⎤⎥⎦> Rule[%](%%);lim (1 + 1x→∞ x )x = eConsider the function −2/3 ∗ x 2 + x. Plot the function and its tangentline at x = 0.> Tangent(-2/3*x^2+x, x=0, -2..2, output=plot,> showtangent=true);Where does this curve cross the x-axis?> Roots(-2/3*x^2+x);[0, 3 2 ]You can find the area under the curve between these two points byusing Riemann sums.