Question

How can I find the limit of sqrt(1+x^2)-1/ln(2+x^2) as x approaches 0?

Answer 1

I'm not sure whether you want `lim_(xrarr0)(sqrt(1+x^2)-1/ln(2+x^2))` (which is what was typed)

or `lim_(xrarr0)(sqrt(1+x^2)-1)/ln(2+x^2)`.

But in either case, the limit of the denominator is not `0`, so we do not get an indeterminate form. Find the limit by substituting `0` in place of `x`.