1. Complete the following: a) b) c) d) e) f) The lim -4x = X-3 The lim x - 16 = x -4+ The lim 4-x X 0 X The lim 2 9- x' x3 x-3 = For what values of x will the function f(x) = x+2 x3-2x-8x be discontinuous? Even if a function has a removeable discontinuity at x = a, then the limit as x a can still exist at x = a. Is this statement T or F? Explain your answer. 8. a) Evaluate these limits algebraically showing all the steps. If it does not exist explain why. [2,2,3,3] x-2 lim x-24-x b) lim (x-31 x 3 9. a) 5-x Consider f(x) = and use, mtangent x-3 f(x+h)-f(x) = lim to determine the h0 h simplified expression in terms of x for the slope of any tangent to f(x) and state the slope at x = 1.