Newbetuts

When $\delta$ decreases should $\epsilon$ decrease? (In the definition of a limit when x approaches $a$ should $f(x)$ approach its limit $L$? )

Determination of the last three digits of $2014^{2014}$

Is it possible to prove reflexive, symmetric and transitive properties of equality and the transitive property of inequality?

Epsilon delta for proving $x^2$ is continuous for $x<0$

Show that if $E$ is not measurable, then there is an open set $O$ containing $E$ that has finite outer measure and for which $m^(O-E)>m^(O)-m^*(E)$

Find all homomorphisms from $\mathbb Z_4\to\mathbb Z_2\oplus\mathbb Z_2$

If $A$ and $B$ are sets of real numbers, then $(A \cup B)^{\circ} \supseteq A^ {\circ}\cup B^{\circ}$

Topology and Borel sets of extended real line

Product of affine varieties

$\log|z|$ has no harmonic conjugate in $\Bbb C\setminus\{0\}$ – different proof

Proving a metric induces the product topology

Show $\lim_{h \to \ 0} \frac{f(x + 2h) - 2f(x+h) + f(x)}{h^{2}} = f''(x)$ Proof verification

Proof verification: Prove that a tree with n vertices has n-1 edges

If $f$ is continuous on $[0,1]$ and if $\int\limits_{0}^{1} f(x) x^n dx = 0, (n=0,1,2,...)$, prove that $f(x)=0$ on $[0,1]$.

If $(f_n)\to f$ uniformly and $f_n$ is uniformly continuous for all $n$ then $f$ is uniformly continuous

Deduce that the product of uncountably many copies of the real line $\mathbb{R}$ is not metrizable.

Connected open subsets in $\mathbb{R}^2$ are path connected.

New posts in proof-verification

Is this a Valid proof for $(2n+1,3n+1)=1$?

$ \lim x^2 = a^2$ as $x$ goes to $a$

Proving $(2n-1)^n + (2n)^n ≈ (2n+1)^n$

When $\delta$ decreases should $\epsilon$ decrease? (In the definition of a limit when x approaches $a$ should $f(x)$ approach its limit $L$? )

Determination of the last three digits of $2014^{2014}$

Is it possible to prove reflexive, symmetric and transitive properties of equality and the transitive property of inequality?

Epsilon delta for proving $x^2$ is continuous for $x<0$

Show that if $E$ is not measurable, then there is an open set $O$ containing $E$ that has finite outer measure and for which $m^(O-E)>m^(O)-m^*(E)$

Find all homomorphisms from $\mathbb Z_4\to\mathbb Z_2\oplus\mathbb Z_2$

If $A$ and $B$ are sets of real numbers, then $(A \cup B)^{\circ} \supseteq A^ {\circ}\cup B^{\circ}$

Topology and Borel sets of extended real line

Product of affine varieties

$\log|z|$ has no harmonic conjugate in $\Bbb C\setminus\{0\}$ – different proof

Proving a metric induces the product topology

Show $\lim_{h \to \ 0} \frac{f(x + 2h) - 2f(x+h) + f(x)}{h^{2}} = f''(x)$ Proof verification

Proof verification: Prove that a tree with n vertices has n-1 edges

If $f$ is continuous on $[0,1]$ and if $\int\limits_{0}^{1} f(x) x^n dx = 0, (n=0,1,2,...)$, prove that $f(x)=0$ on $[0,1]$.

If $(f_n)\to f$ uniformly and $f_n$ is uniformly continuous for all $n$ then $f$ is uniformly continuous

Deduce that the product of uncountably many copies of the real line $\mathbb{R}$ is not metrizable.

Connected open subsets in $\mathbb{R}^2$ are path connected.