Q1]...[20 points] Evaluate lim_ {? - %J I=i \\xX r\"4raqa 1 Q2]...]20 points] Find the derivative of f(r) = | by using the limit definition of the I derivative. Q3]...[20 points] Find an equation of the tangent line to the graph of f(x) = 2T+ 2x1at (9,23). Q4]...[25 points] Find the derivative of the given functions. Show your work! a) f(r) = w_hl'f'l . (Do NOT simplify your answer) : + drt =2+ 1 = b) f(x) = (tan(z) + 1)(cot(z) 1) (Do NOT simplify your answer) c) flx) = sin'(32 100z +2) (Do NOT simplify your answer) d) f(z) = (5x 7)*(2x 3)* (Do NOT simplify your answer) Q5]...[15 points] Answer the following questions for the graph given below and explain your answer. a) Find lim f(r)=" r4+ b) Find lim f(x) =" r+4 c) Find lim f{r)=" rq d) At which point(s) f(r) has no limit and why? e) At which peint(s) f(r) is not continuous and why? f) At which point(s) f(x) is not differentiable and why