Show that not exists any polynomial function such that $f(x) = \log (1+x)$.
32917
Show that, for $t>0$, $\log t$ is not a polynomial.
124277
Taylor Series for $\log(x)$
117816
Is $\frac{x^2+x}{x+1}$ a polynomial?
127547
Prove that If $f$ is polynomial function of even degree $n$ with always $f\geq0$ then $f+f'+f''+\cdots+f^{(n)}\geq 0$.
39747
Showing that $\lim_{x\to 0} x\log{x}= 0$ without using L'Hopital's rule
151729
Existence of a unique polynomial
148813
Prove: $f: \mathbb{R} \rightarrow \mathbb{R}$ st for every $x \in \mathbb{R}$ there exists $n$ st $f^{(n)}(x) = 0$, f is a polynomial.
6722
to show $f$ is a polynomial in $z$
74051
No analytic function in $\{|z|<1\}$ such that $f(0)=1$ and $|f(z)|\ge 1+|z|^2$. Proof strategy
126959
Prove $ \frac{1}{x+1} \le \ln(1+\frac{1}{x}) \le \frac{1}{x}$ with usage of the definition of a logarithmic function
57368
Prove that a positive polynomial function can be written as the squares of two polynomial functions
36087
Every Function in a Finite Field is a Polynomial Function
117353
Polynomial equation $f(x)f(2x^2)=f(2x^3+x)$
112114
Detailed proof that no essential singularity at infinity implies polynomial
41810
Should all polynomial functions from F to F (F is a field) have coefficients in F?
147325
Proving that if $f(x)=x$ has no real solution then $f(f(x))=x$ has no real solution either
29647
Do there exist functions satisfying $f(x+y)=f(x)+f(y)$ that aren't linear?