# The natural logarithm

1. Jun 12, 2015

### Topolfractal

Does there exist a closed form formula for in(x)?

2. Jun 12, 2015

### phion

You can get an arbitrarily good approximation with the Taylor series representation of $ln(x)$ by integrating term by term the sequence form of $1/x$.

3. Jun 12, 2015

### Staff: Mentor

Typo? You have in instead of ln (lowercase "ell").

4. Jun 12, 2015

### Topolfractal

Ya In(x) is what I mean

5. Jun 12, 2015

### micromass

Staff Emeritus
What do you mean with closed formula? What functions are you allowed to use?

6. Jun 12, 2015

### mathman

Ln(x) has a singularity at x = 0, so you can't have a Taylor series around 0.