import math

def f$($x$)$:

return math.exp$($x$)+2**(-$x$)+2*$ math.cos$($x$)-6$

def df$($x$)$:

return math.exp$($x$)-2**(-$x$)-2*$ math.sin$($x$)$

def newton$\_$method$($initial$\_$guess, tolerance, max$\_$iterations$)$:

print$($f$"\{\text{'}$n$\text{'}$:$<5\}\{\text{'}$p$\_$n$\text{'}$:$<10\}")$

x $=$ initial$\_$guess

for i in range$($max$\_$iterations $+1)$:

print$($f$"\{$i:$<5\}\{$x:$\mathrm{.}5$f$\}")$

if abs$($f$($x$))<=$ tolerance:

break

x $=$ x $-$ f$($x$)/$ df$($x$)$

# Set the initial guess, tolerance, and maximum iterations

initial$\_$guess $=1\mathrm{.}5$

tolerance $=1$e$-5$

max$\_$iterations $=5$

# Apply Newton's method

newton$\_$method$($initial$\_$guess, tolerance, max$\_$iterations$)$