1. (3.) Calculate the limit: |._ I H IH HE h where .1: 5E 0 is a. non-zero number. (b) Which step in your calculation above will no longer be applicable if I: = I}? 2. Calculate the limit: lim 23 - 1 x-+1x2 - 1 Page 33. The limit definition of the dervative states' that: mtan = lim f(ath) - f(a) h-+0 h is the slope of the tangent to y = f(x) at (a, f(a)) (a) Write out the formula for mtan applied to f(x) = vx + 8 and a = 1. (b) Compute the slope mean of the tangent line at a = 1. (c) Write the equation y = mr + b of the tangent line to y = vi + 8 at (1, 3)