# Tagged Questions

**2**

votes

**2**answers

2k views

### Numerical Computation of arcsin and arctan for real numbers [closed]

I'm coding some numerical methods and I do not know what the correct analysis would be for choosing the implementation for $arcsin$ and $arctan$ for real numbers. Here's what I know:
Both functions ...

**1**

vote

**1**answer

270 views

### method for getting function from power series/perturbation series

is there any definite method or algorithm,software to get exact function or expression from series.e.g we get series solution of differential equation and we want exact expression rather than ...

**13**

votes

**3**answers

3k views

### Why is $ \frac{\pi^2}{12}=ln(2)$ not true ?

This question may sound ridiculous at first sight, but let me please show you all how I arrived at the afore mentioned 'identity'.
Let us begin with (one of the many) equalities established by Euler:
...

**3**

votes

**2**answers

182 views

### Properties of signomial Functions in one variable

I am interested in functions of the form: \sum_{j=1}^\infty a_j x^{p_j} where p_j can be any non-negative real number. Wikipedia has informed me that this is a subset of the signomial functions, but ...

**7**

votes

**3**answers

3k views

### What's an example of a function whose Taylor series converges to the wrong thing?

Can anyone provide an example of a real-valued function f with a convergent Taylor series that converges to a function that is not equal to f (not even locally)?