y y >, suppose that there is a number N > 0 so that the implication below is true: if x > N, then |(1)/(2x-5)| < ε.
a. If ε = 0.1, find the largest value for N > 0 which ensures the above implication is true.
N = 7.5
b. If ε = 0.01, find the largest value for N > 0 which ensures the above implication is true.
N = 52.5
c. Using the work you did in parts a and b, find the smallest value for N > 0 which ensures the above implication is true for an arbitrary ε > 0. (Your answer should be an expression N = ε)
c. The result you found in part c proves that a certain limit exists. Fill in the blanks below for the pieces of the corresponding limit.
The value, is approaching is a =
i. The function is f(x) = (1)/((1)/(2x-5))
