Some Class of Third- and Fourth-Order Iterative Methods for Solving Nonlinear Equations

Table 1

Functions and their roots.

𝑓(𝑥)	𝛼
𝑓1(𝑥)=𝑒^−𝑥𝑥−1+5	4.9651142317442763036…
𝑓2𝑥(𝑥)=^3+2.87𝑥^2−10.284.62−𝑥	2.0021187789538272889…
𝑓3(𝑥)=𝑥+Cos𝑥Sin𝑥𝜋−14	0.4158555967898679887…
𝑓4(𝑥)=𝑥𝑒^−𝑥−0.1	0.1118325591589629648…