EXPONENTIAL FUNCTIONS (10 marks) 1. Complete the missing table below: Test the limit on various values of b using your calculator or a spreadsheet: a) Let b = 2 and b) Let b = 3 and c) Guess a value for b evaluate evaluate lim 3" -1 so that the limit is 2" - 1 lin h-0 h as close to 1 as h-0 h possible. lim b" - 1 b= h-0 h 6" - 1 6" - 1 b" - 1 H h H h h h 1 1 1 0.5 0.5 0.5 0.1 0.1 0. 1 0.01 0.01 0.01 0.001 0.001 0.001 0.0001 0.0001 0.0001 Conclusions: a) If f(x) = 2" then f'(x) = b) If f (x) = 3" then f'(x) =