Math 140 - Spring 2023 Quiz #5 Page 4 5) (15 pts) Find the following: a) lim **-16 X-2 x5-32 b) lim ex x+00 23 6) (10 pts) Find the following: lim x3 . e -x *+00 7) (15 pts) Find the value of p such that: lim 3x -= 2 x+co px+7Math 140 - Spring 2023 Quiz #5 Page 2 1) (15 pts) You have 500 feet of fencing to enclose a rectangular garden. a) What should the dimensions of the garden be in order to enclose the largest area? b) What are the dimensions of the largest garden you can enclose if one edge of the garden borders your house and does not need to be fenced? 2) (15 pts) Find the following: 28 a) lim x-00 3x-5 b) lim 5 sin(2x) *+00 2x=v AaBbCcDdE AaBbCcDdE AaBbCCD AaBbC E Normal No Spacing Heading 1 Headin Math 140- Spring 2023 Page 3 Quiz #5 3) (15 pts) Find the following: a) lim x-1 x-2+ x-2 b) lim xz-x-2 X-2 4)_(15 pts) Write the equation for each asymptote for the following functions: a) 3x+2 2x - 1 b) x-1 x 2 - x