The following function was written to evaluate the sine function of some value x by the

userselected order m of an infinite series approximation. Find the error in the code, correct the

code, and explain the purpose of each line $($including the format of the input and output$).$

def sincomparison$($x$,$ m$)$:

i$=1$

sin $=$ comparison value

ser $=0$

print$($

$)$

print$($order true value approximation error

$)$

while$($True$)$

if j $>$ m: break

ser $=$ ser $+(-1)^($j$-1)*$ x$**(2*$j$-1)/$np$.$math.factorial$(2*$j$-1)$

er $=($comparison value $$ ser$)/$ comparison value $*100$

print$(\%3$f $\%14\mathrm{.}10$f $\%14\mathrm{.}10$f $\%12\mathrm{.}8$f

$,$ i$,$tru,ser,er$)$

retur