1. Suppose that f(x) is a function defined for all real values so that lim f(x) = 0. x2 (a) Fill in the values of A and B in the formal definition of limit below. For all x (A 8, A) U (A, A + ), f(x) (B , B+ ) (b) Suppose that for = 0.4, the value = 0.8 satisfies the definition above. i. Will the value = 0.8 always satisfy the definition above for < 0.4? Explain your reasoning in a sentence. = ii. Will the value 0.8 always satisfy the definition above for > 0.4? Explain your reasoning in a sentence. iii. Will a value of 8 < 0.8 always satisfy the definition above for = reasoning in a sentence. iv. Will a value of 8 > 0.8 always satisfy the definition above for = reasoning in a sentence. 0.4? Explain your 0.4? Explain your