Answer Happy

Definition: The limit of function f(x) when x approaches a ƒ(x) Exist. if WAKURREN lim fx T-a (*) lim (2) lim (2)=√(a) = lim f Ta lim f 1-0 Left-hand limit and right-hand limit exist and are equal to the value of function atx=a. f(x) ƒ(x) = f(a) Left-hand limit exist, left-hand limit and the value of function at x-a are equal. ƒ(2) and lim fx s(x) I-a- lim fr za s(a) = f(a) Right-hand limit exist, right-hand limit and the value of function at x-a are equal. lim fx P exists and lim f T-a exists and lim lim fx and lim x-a- exist and Banned ƒ (₁) $(α) lim exist and Left-hand limit and right-hand limit exist and are equal.

Question 2 (1 point) 9 0 1 # 2 3 From the graph of the function g(x) above, determine the value of the one-sided limit lim g(x) NOTE: Enter a single number as your answer. For example, if the limit is 8, just enter 8. Don't say "The limit is 8" or any other words, just 8

Question 3 (1 point) ✔ Saved Given the piecewise function ¹(²) = { - Find the following limit. ƒ(₂) I-2 lim fx -2 2+2 O-12 z+1 12 for <-2 x for x ≥-2

Question 4 (1 point) ✔ Saved Given the following function 9 (2) Find 3 01 0-1 3 cos x + 2 for x 0 for x > 0 T 4 7 9 (1) lim gx x->01

Question 5 (1 point) Evaluate the following limit. lim Hint: Find one-sided limits (left hand and right hand limits. Does Not Exist 01 Saved 1