i used an online calculator to solve this problem and got the following answer. i just want to understand the use of epsilon because the online calculator i used didnt have an option to enter any epsilon sign. so what is the use of epsilon in the question? and is the answer given by the online calculator correct? Thanks

f(x) = x2 2; x0= 1; = 10-10 In our case Newton's formula: f(10) 21 = DO a 2 C1 = To 2300 PNewton's method Function x^2-2 Initial value xD Desired tolerance 0.0001 Tolerance type O Endpoint convergence Function convergence Calculation precision Digits after the decimal point: 8 CALCULATE Function x? - 2 Derivative 2.x 1.41421356 tions 1.5 0.25 0.5 1.41666667 0.006944444 0.083333333 1.414215690.000006007 0.002450980