can someone help me with these 5 problems? Thanks

Select the correct answer. Given `lim_(x -> 3) 4x - 3 = 9', use the formal definition of a limit to find the value of & that corresponds to & = 0.5. O A. 0.125 O B. 0.167 O C. 0.250 O D. 0.500Select the correct answer. Alan needs to manufacture a circular metal plate with a perimeter of '10pi' centimeters. lfthe allowed error tolerance in the perimeter is '+1 ' centimeter, how close to the ideal radius must he control the radius of the plate? 0 A. '1/(5pi)' O B. '1/(10pi)' O c. '2/pi' D. '1/(2pi)' 3 Select the correct answer. Given 'lim_(x -> 6) x^2 - 2x - 20 = 4, use the formal definition of a limit to find the value of 8 that corresponds to & = 1.1. O A. 0.11 O B. 0.10 OC. 0.99 OD. 0.094 Select the correct answer. f (x) 13 f ( x) = Vx If(x) - 3/ 0 such that if | x - 9| 0 such that if |x 4|