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//ques22
disp('Here we need to find find the limit of f(x) at x=0')
syms x
y=(x*%e^x-log(1+x))/x^2;
//disp('The limit at x=0 is : ');
//l=limit(y,x,0);
//disp(l)
f=1;
while f==1
yn=x*%e^x-log(1+x);
yd=x^2;
yn1=diff(yn,'x',1);
yd1=diff(yd,'x',1);
x=0;
a=eval(yn1);
b=eval(yd1);
if a==b then
yn=yn1;
yd=yd1;
else
f=0;
end
end
h=a/b;
disp(h);
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