Consider the sequence (a, a2, a3, an ...) = Find the limit L of this sequence. Find the smallest number NE N so that for all n N we have that lan - L < 0.01 2. (25) (a) (15) Sketch the graph of the function f(x) = Make sure that you identify all horizontal and vertical asymptotes, and all intersection points. (b) (10) 1 x 2 f(x) = 1 1 1 2'8' 32' 1 22n-1 - g(x) = |x| h(x) = x - 1 Write the composition fogoh and specify the domain and range of the composition. (x-4)x(x + 2) x(x-4) (x - 5)