1.

In formally proving that lim (c' + x) = 2, let = > 0 be arbitrary. Choose 6 = min m -, 1). Determine the smallest value of m that would satisfy the proof.A machinist is required to manufacture a circular metal disk 1with area 95:] m2. Give 1,rour answers in exact form. Do not write them as decimal approximations. a] 1iii'hat radius, it, produces such a disk? :] b] If the machinist is allowed an error tolerance of :|:5 mg in the area of the disk, hos-qr close to the ideal radius in part {a} must the machinist oontrol the radius? :3} Using the err? definition of a limit, determine each of the following values in this context: a: Guess the value of the limit [if it exists] by evaluating the function at the given numbers. [It is suggested that 1you report answers aocurate to at least six decimal places.) Let z) = odo[11:c}3;coo(8:c}- molz} mews] . We want to find the limit lim 2 2H} I Start by calculating the values of the function for the innuts listed in this table. one 11:: one 855 Based on the values in this table, it appears ljm # = :] 3H] :2