1 Knowing that lim = 0 if a > 0, we want to compute the following limit. 4x - 5 lim 4x2 + 1 a) This is an indeterminate form of the type O 0 x xx O ox - 0 0 100 0 0 0 0/ 00 0 b) Factor out an a from both the numerator and the denominator of 4x - 5 and then simplify to get an answer of the form 4x2 + 1 4x - 5 p(a) V 4x2 + 1 Va(x) where p(a) and q(a) no longer diverge to oo as a increases. FORMATTING: Write your answer in the form [p(a ) , q(a)], including the square brackets and a comma. Use calculator notation in your answer (e.g. 3x2 is written 3*x^2). Note that you should not have "sqrt" in your answer. Answer: [p(a), q(ac) ] = 4x - 5 c) Using the result from (b), we find that lim 4x2 + 1