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- 1d. Use L'Hopital's Rule to find the Limit: lim (tantheta - sectheta) theta->(pi/2)-Compute the limit (x,y)→(0,0) of 8xy / 2x^2+ 4y^2 along the following paths. (a) Along the y-axis. (b) Along the line y=3x. (c) What can you conclude about the limit?Consider the line f(x) = mx + b, where m ≠ 0. Use the ε- definition of limit to prove that limx c f(x) = mc + b.