# Sriti Mallick

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# 202 Questions

 13 My text says$\left\{\begin{pmatrix}a&a\\a&a\end{pmatrix}:a\ne0,a\in\mathbb R\right\}$ forms a group under matrix multiplication. 8 Does $\|\cdot\|_2:C_\mathbb R([0,1],\mathbb C)\to\mathbb R:f\mapsto\sqrt{\int_0^1|f(t)|^2dt}$ come from any inner product? 8 Any group of order $85$ is cyclic. 8 $S_6$ can't have a subgroup isomorphic to $S_3\times S_4$ 8 Prove that $Tx=x^{-1}~\forall~x\in G.$ [duplicate]

# 2,580 Reputation

 +5 Show that $\lim\limits_{x\to0}\frac{e^x-1}{x}=1$ -2 Non-constant entire function +5 Does a monotone function on an arbitrary subset of $\mathbb R$ always have at most countable number of discontinuity? +5 Definition of Simple Group

 5 How to test the convergence of the series $\sum_{n=1}^\infty n^{-1-1/n}$? 3 The derivative of $e^x$ 2 Does $f(z)=\sin\left(\dfrac{1}{z}\right)~\forall~z\in\mathbb C-\{0\}?$ 1 The order of the group 1 $R=\mathbb{Q}[x]/I$ where $I=\langle 1+x^2 \rangle$ let $y$ be the coset of $x$ in $R$ then

# 61 Tags

 6 real-analysis × 34 2 complex-analysis × 42 5 sequences-and-series × 9 2 abstract-algebra × 34 5 convergence × 2 1 group-theory × 32 4 derivatives × 4 1 linear-algebra × 11 3 notation × 2 1 limits × 8

# 2 Accounts

 Mathematics 2,580 rep 321 Academia 103 rep 1