Question

2log(1+x)-log(1+2x)/x^2
Find limiting value

Answer 1

Answer:

For small values of x ln(1+x)~x-x2/2+x3/3-...

1/x-(ln(1+x))/x2=1/x-(x-x2/2+x3/3-...)/x2=1/x-1/x+1/2+x/3-...which =1/2 as x→0