Need help with grade 12, chapter 1 - limits questions.

4. Evaluate each limit using an appropriate algebraic strategy. Leave answers in exact, reduced form, if necessary. . 4x32 . 4x2+8x5 a) 11m 3 b) 11m 2 x>8 762 3594, 4x +20x+25 lim |x+3||x1| x1 x)1 6. A biologist nds the average production in which cancerous cells are produced in rats is 2 t 2t+1 t measured in 1000 cells per hour. The difference quotient for the function P(t) in simplied form t2+th1 t(t+h) Determine the rate of change of production with respect to time at 7 hours and conclude the answer in context with the correct units. given by the function P (t) = where t is measured in hours and P(t) is is 5. Determine the slope of the tangent to the graph f (x ) = at x = 3 using first (x+1) principles. Note: the entire x+1 expression is under the square root sign.1. Sketch the piecewise function, f(x), and state the x+2' x5 -3 types of discontinuities, if necessary. Justifications f(x) = -(x+ 1)-+4, -3