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- x3 +27 b. lim x--3 x+3 hint: a³ + b3 = (a + b) (a² – ab + b?)if a 2 4- -5 -4 -3 -2 -1 2 3 5 4 -3 -4 -5 Clear All Draw: 1. Note: Be sure to include closed or open dots, but only at breaks in the graph. Get help: Video Video 2.Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x2 - 64 lim x-8 x + 8 Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result. g(x) = Need Help? Read It
- The Second Gate As you move through the first gate, you can see another gate not far in front of you. You approach the second gate and your computer reads: "There are 2 values for which the below function does not exist. The passcode is the limit of g (x) as x approaches the smaller of these two values." g(x) x+5 x2-25 Your computer also reminds you to type "infinity" for oo, "-infinity" for -∞o, and "NA" if the limit does not exist. What do you enter for your computer to translate?Find the limit of the function (if it exists). (If an answer does not exist, enter ONE.) x² + 8x X lim x 0 Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result. g(x) =Express the function in the form fog. (Use non-identity functions for fand g.) F(x) = (7x + x2)4 {fx), g(x)} = { {x*, 7x +x?} }
- Find each function value and limit. Use - ∞ or ∞ where appropriate. 7x+3 5x-8 f(x)= (A) f(10) (B) f(100) (A) f(10) = (Round to the nearest thousandth as needed.) (C) lim f(x) 00+xLet's end with a harder one. Think through the composition. You can do it! The graph below depicts a function f(x). Its two asymptotes are indicated in red: The graph below depicts a function g(x). Its one asymptote is indicated in red: 5- -4 -5 -4 -3 -2 -/ -4 -5+ lim g(f(æ)) lim 9(f(x)) lim 9(f(x)) lim g(f(x)) = x → -1g3 + 3x – 1 lim VAr® – 2x I-00