hjpotter92
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 16 Calculate:$y'$ for $y = x^{x^{x^{x^{x^{.^{.^{.^{\infty}}}}}}}}$ and $y = \sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x+…\infty}}}}$ 14 the unit digit for $3^{100}\cdot 37^{98}$ 9 Why is a full circle 360° degrees? 7 Formula for $\sum _{i=1}^n (n+1-i) (n-i)$ 7 How to prove: $S=\frac{4}{3}\sqrt{ m(m-m_a)(m-m_b)(m-m_c)}$

### Reputation (2,432)

 +10 Why is a full circle 360° degrees? +10 The problem of ten divided by three +10 How many combinations of 20 balls can be drawn from a bag of 10 blue balls and a bag of 10 red balls +10 Formula for $\sum _{i=1}^n (n+1-i) (n-i)$

### Questions (8)

 4 Perfect squares, cubes and fifth powers $\leq 10^8$ 3 Is it necessary to state that $y_i \leq 1$ 3 Why is my procedure misleading? 2 Limit of $\left(\left(\frac{1-x}{e}\right)^{1/x}\right)^{1/\sin x}$ when $x\to0$ 2 Proving or disproving inequality $\frac{xy}{z} + \frac{yz}{x} + \frac{zx}{y} \ge x + y + z$ [duplicate]

### Tags (62)

 34 calculus × 17 13 differential-equations × 6 23 derivatives × 4 10 summation × 3 19 algebra-precalculus × 11 9 soft-question 15 geometry × 8 8 notation × 4 15 elementary-number-theory × 2 7 trigonometry × 9

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