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 5: Understanding the definition of the limit a. If we could "zoom in" on the function values near a = 0.25 as much as we wanted to, we could continue this process for values of & smaller than 0.01. If we could successfully repeat this process of finding & for any small positive value of &, we would be able to conclude that lim f(x) = by the definition of a limit. 2-+0.25 b. choose v If lim f(x) = L, then f(a) must be equal to L. choose true ote: You false credit on this