depends only on the value of Identify f(x) f(x) = Identify L L = Identify a. a = Review the second step for proving that lim f(x) = L. Use the given inequality and the desired form of the condition to determine a plausible expression for 8. 8- Review the final step for proving that lim f(x) = L. What operations will prove the desired inequality after simplification? A. Multiplying all expressions in the assumed inequality by 3, and then adding and subtracting a - 2 in all of the expressions. B. Multiplying all expressions in the assumed inequality by 3, and then adding and subtracting a - 2 in the middle expression. C. Multiplying the middle expression in the assumed inequality by 3, and then adding and subtracting a - 2 in the middle expression. D. Multiplying the middle expression in the assumed inequality by 3, and then adding and subtracting a - 2 in all of the expressions. c. Complete the statement that is used to directly prove lim f(x) = -2 X-+0 Assume f is defined for all x near a except possibly at a. Then lim f(x) = Lif and only if lim f(x) = _and lim f() =] x-3 tor 4 acernt/PlayerTest.aspx?testld=255403011¢erwin=yes kes Fall 2023 Express Class Taha Naghshineh 09/15. a. The limit of f(x) as x approaches a from the right of a is L, written lim f(x) =L, if for any e > 0 there exists 8> 0 such that [f(x) -L| 0 there exists > 0 such that (f(x) - L| 0, assume and use the relationship between to prove that Identify f(x). f( x) =0 Identify L. L = Identify a a = Review the second step for proving that lim f(x) =L. Use the given inequality and the desired form of the condition to determine a plausible expression for 8. 6 = Review the final step for proving that lim f(x) =L. What operations will prove the desired inequality after simplification? A. Multiplying all expressions in the assumed inequality by 7, and then adding and subtracting a - 2 in the middle expression. B. Multiplying all expressions in the assumed inequality by 7, and then adding and subtracting a - 2 in all of the expressions. C. Multiplying the middle expression in the assumed inequality by 7, and then adding and subtracting a - 2 in all of the expressions. D. Multiplying the middle expression in the assumed inequality by 7, and then adding and subtracting a - 2 in the middle expression. b. State the steps for proving that lim f(x) = L x-+a Let e be an arbitrary positive number. Use the inequality to find a condition of the form where | depends only on the value of |Then, for any e> 0, assume and use the relationship between to prove that Identify f(x). f(x) = structor earch 84 F Mostly cloudy