Question

Hi, here's a questuon and a solution for it, i didnt understood how they got the formulas used in the answers could you please help me with them? thank you

When 0 <h < 0.01, show that en may be replaced by 1 + h with an error of magnitude no greater than 0.6% of h. Use e0.01 = 1.01.

Answer 1

2 ? 1+1=2 eit is mue. he - I will ercaul some Important data . . 1) Error by Euler metuode is = y con 2) eh ? Ith simbe put to put hzo a e~ HONA frue for h2o hal = e = 207 ~ 1t1=2 oltp ble claim for only nzo since och cool claum en is replaced by Ith with essor of magnetude, ic' () = ex is echapel magnetude of exco ę is i lessoal & I f"(Ha) nl [: by Eller methode] Sleniny F: £ch ha f"(n) =e] slerinin sre. Coolen < (1.01) xo.olllhl ha .556 => for calculating i <0.0050054th lerroalco.00 6xh [5 ] percentage we multiply by leo. lerroel <0.6%h.