Finding Deltas Algebraically Each of Exercises 15-30 gives a function f(x) and numbers L, c, and € 0. In each case, find an open interval about c on which the inequal- ity |f(x) − L| < e holds. Then give a value for 8 > 0 such that for all x satisfying 0 < |x − c| < 8 the inequality |f(x) - L| < e holds. - 15. f(x) = x + 1, L = 5, c = 4, € = 0.01 16. f(x) = 2x - 2, L = −6, c = -2, € = 0.02 17. f(x) = √x + 1, L = 1, c = 0, € = 0.1 18. f(x) = √x, L = 1/2, 20. f(x) = 19. f(x) = √19 - x, Vx c = 1/4, € = 0.1 € L = 3, c = 10, € = 1 √x - 7, L = 4, c = 23, € = 1 21. f(x) = 1/x, L = 1/4, c = 4, € = 0.05 22. f(x) = x², L = 3, C = √3. € = 0.1 23. f(x) = x², L = 4, c = -2, € = 0.5 24. f(x) = 1/x, L = 1, c = -1, € = 0.1 25. f(x) = x² 5, - L = 11, c = 4, € = 1 26. f(x) = 120/x, L = 5, c = 24, € = 1 27. f(x) = mx, m0, L = 2m, c = 2, € = 0.03 28. f(x) = mx, m > 0, L = 3m, c = 3, € = c > 0 c = 1/2, 29. f(x) = mx + b, с m > 0, L = (m/2) + b, € = c > 0