### Questions (17)

 4 Homomorphism from $S_4$ to $S_3$ 3 Show that there is a unique differentiable function satisfying $f''(x)=a, f'(0)=b$, and $f(0)=c$. 2 Help me get my head around this simple linear regression problem 2 Let $f\in \mathscr{L}^1$. Show that for every $\epsilon$ there exists a continuous function $g$ such that $\int_X |f-g|d\mu < \epsilon$. 2 Every bijective conformal transformation of $\mathbb{C} \to \mathbb{C}$ is of the form $f(z)=az+b$. [duplicate]

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 1 Question regarding upper and lower integral sums 1 find the sum to n term of $\frac{1}{1\cdot2\cdot3} + \frac{3}{2\cdot3\cdot4} + \frac{5}{3\cdot4\cdot5} + \frac{7}{4\cdot5\cdot6 } + ...$ 1 How to show describe a bijection between 2 infinite intervals? 1 Basic proof that $\frac{d}{dx}(\sin(nx))=n\cos(nx)$

### Tags (29)

 2 real-analysis × 8 1 telescopic-series 1 calculus × 3 1 trigonometry 1 chain-rule 0 complex-analysis × 3 1 derivatives 0 measure-theory × 2 1 sequences-and-series 0 metric-spaces

### Bookmarks (41)

 466 Best Sets of Lecture Notes and Articles 154 Overview of basic results about images and preimages 149 Intuition of the meaning of homology groups 125 Are "if" and "iff" interchangeable in definitions? 87 Difference between gradient and Jacobian

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