restart;
# تابع حد نقطهای
LimitWithLHopital := proc(expr, var, point)
local l, r, f, g, f_diff, g_diff;
f := expr;
g := var;
f_diff := diff(expr, var);
g_diff := diff(var, var);
l := limit(f / g, var = point, 'left');
r := limit(f_diff / g_diff, var = point, 'left');
if l <> r then
print("حد " , l , " به وسیله قانون لوپیتال " , " \n");
else
print("حد بدون نیاز به قانون لوپیتال " , " \n");
end if;
return limit(f / g, var = point);
end proc;
# تابع مثال برای حد sin(x)/x در x -> 0
f := sin(x);
g := x;
LimitWithLHopital(f, g, 0);
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