# Frank

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# 36 Questions

 9 Find $\lim\limits_{n\to\infty}\sqrt{1+\sqrt{1/2+\dots+\sqrt{1/n}}}$ 7 How can we prove this function must be linear? 6 Prove the open mapping theorem by using maximum modulus principle 6 cardinality of infinite sets 4 How to show that this set is a Lebesgue set

# 536 Reputation

 +10 Show that $\lim_{n\to\infty}\sum_{k=1}^n\bigl|k\bigl(f\bigl(\frac{1}{k}\bigr)-f\bigl(-\frac{1}{k}\bigr)\bigr)-2f'(0)\bigr|$ exists +35 Show that: $\int_{\Omega} X d\mu = 0 \iff \mu(\{\omega\in\Omega\mid X(w)>0\})=0$ +15 Determine whether this map is an isomorphism +5 Find $\lim\limits_{n\to\infty}\sqrt{1+\sqrt{1/2+\dots+\sqrt{1/n}}}$

 3 find the domain of root of a logarithmic function 2 Show that: $\int_{\Omega} X d\mu = 0 \iff \mu(\{\omega\in\Omega\mid X(w)>0\})=0$ 2 Taylor series- help! 1 Why $\int^{+\infty}_{-\infty} x \, dx \neq 0$ 0 Show that a group of order $28$ contains $2$ subgroups $H_1 > H_2$ such that $|H_1|= 14$ and $|H_2| = 7$

# 40 Tags

 3 logarithms 1 real-analysis × 15 2 measure-theory × 7 1 calculus × 9 2 lebesgue-measure 1 improper-integrals × 2 2 statistics 1 convergence 2 taylor-expansion 0 general-topology × 4

# 1 Account

 Mathematics 536 rep 28