A table of values for a function y = f(x) is given below. You do not know a formula for this function. f(x) f(x) f(x) f(x) r f(a) 0.01 0.174 0.11 0.375 0.21 0.471 0.31 0.538 0.41 0.591 0.02 0.213 0.12 0.387 0.22 0.478 0.32 0.544 0.42 0.595 0.03 0.241 0.13 0.398 0.23 0.486 0.33 0.550 0.43 0.600 0.04 0.265 0.14 0.408 0.24 0.493 0.34 0.555 0.44 0.604 0.05 0.286 0.15 0.418 0.25 unknown 0.35 0.561 0.45 0.609 0.06 0.304 0.16 0.428 0.26 0.507 0.36 0.566 0.46 0.613 0.07 0.320 0.17 0.437 0.27 0.513 0.37 0.571 0.47 0.617 0.08 0.336 0.18 0.446 0.28 0.520 0.38 0.576 0.48 0.622 0.09 0.350 0.19 0.454 0.29 0.526 0.39 0.581 0.49 0.626 0.10 0.363 0.20 0.463 0.30 0.532 0.40 0.586 0.50 0.630 In this question, we examine lim f(@) numerically. This question asks you to predict the value of the limit. Then, it gives you several 3-+0.25 possible values of the y-tolerance ( value) and guides you through the procedure to find each corresponding a-tolerance (6 value). Finally, it asks you to reflect on how this process illustrates finding limits using the definition of a limit.Part 4: epsilon = 0.01 a. When L = 0.5 and s = 0.01, the y-values within distance & of the limit will satisfy the inequality