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 3 Finding the mistake in precalc equation 2 Continuous irrational function proof 2 If $b-c>1/2, b_n\to b$ and $c_n\to c$, there is $n$ such that $b_n,c_n \in (c-1/4,b+1/4)$ for all $n > N$ 2 Books on functional equations 2 find the general solution of the system

# 348 Reputation

 +10 Real Analysis Proofs: Additive Functions +5 When $\operatorname{Hom}_{R}(M,N)$ is finitely generated as $\mathbb Z$-module or $R$-module? +35 Continuous irrational function proof +10 If $b-c>1/2, b_n\to b$ and $c_n\to c$, there is $n$ such that $b_n,c_n \in (c-1/4,b+1/4)$ for all $n > N$

# 4 Questions

 6 When $\operatorname{Hom}_{R}(M,N)$ is finitely generated as $\mathbb Z$-module or $R$-module? 2 Counterexample for ${\rm Hom}_{R}(\prod_{i\in I}M_{i},N)\cong_{\mathbb{Z}} \coprod_{i\in I}{\rm Hom}_{R}(M_{i},N)$. 2 A functional equation related to the exponential function 0 Prove that $f(x)\leq f'(x)$, then $f$ is non decreasing?

# 27 Tags

 5 functional-equations × 6 2 eulers-constant 4 real-analysis × 6 2 logarithms 4 calculus × 3 2 reference-request 3 algebra-precalculus × 2 2 convergence 2 proof-writing × 2 2 integration

# 3 Accounts

 Mathematics 348 rep 111 MathOverflow 131 rep 3 Mathematica 101 rep