For the function shown below, find (if the quantity exists) (A) lim f(x), (B) lim f(x), (C) lim f(x), and (D) f(0). X→0* 11-x, for xs0 f(x) = 11+x2, for x>0 (A) Select the correct choice below and fill in any answer boxes in your choice. O A. lim f(x) = O B. The limit does not exist.

mit. 3x(x-4) lim x- 4| X4"

For the function f whose graph is given, state the value of the given quantity, if it exists. Identify any discontinuities in the graph of f.

Provide an appropriate response. lim f(x+ h) – f(x) 2. Find the difference quotient, for the function f(x): h-0

X A. - lim x-3 x-3 B. C. D. -B. 1/1

For any real number x the floor function (or greatest integer function), LXJ. is defined to be the greatest integer less than or equal (a) Compute lim LJ. lim L lim LXJ. and lim LXJ. to x (see figure). Answer parts (a) through (e) --2" 2 Compute lim LXJ Select the correct choice below and, if necessary, fil in the answer box to complete your choice -1" OA. lim L- OB. lim LJ does not exist Compute lim LKJ. Select the correct choice below and, if necessary, fill in the answer box to complete your cholce OA. lim LK- OB. lim Lx does not exist Compute lim LXJ Select the correct choice below and, if necessary, fill in the answer box to complete your choice OA. Im LKJ X-2" OB. lim LXj does not exist. X2" Compute lim LXJ Select the correct choice below and, if necessary, fill in the answwer box to complete your choice x--2

If 3x 3≤ f(x) ≤ x² - 3x + 6 for x≥ 0, find lim f(x). - x 3 Need Help? Read It Watch It Submit Answer