3 Unexpected examples of natural logarithm 3 Finding an explicit formula for a sequence 2 Prove that $\left[\sum_{k=0}^n \binom{n}{k}\right]^2 = \sum_{k=0}^{2n} \binom{2n}{k}$ 1 What is $a$ in $\lim_{t \to 0} \left(\frac{a}{t^2} - \frac{\sin 6t}{t^3 \cos^2 3t}\right) = -18$ 1 probability and probability tree

### Reputation (526)

 -2 Proof that $(1+\frac{1}{n})^n$ can't converge to a rational number +26 The best definition of Linearly Independence +25 What is $a$ in $\lim_{t \to 0} \left(\frac{a}{t^2} - \frac{\sin 6t}{t^3 \cos^2 3t}\right) = -18$ +10 probability and probability tree

### Questions (6)

 5 Proof that $(1+\frac{1}{n})^n$ can't converge to a rational number 1 The best definition of Linearly Independence [closed] 0 Continuity and Differentiability of some functions 0 Divergent non negative series smaller than harmonic series 0 Functions without a fundamental period

### Tags (40)

 3 pattern-recognition 2 probability × 3 3 soft-question 2 combinations × 3 3 logarithms 2 ordinary-differential-equations × 2 3 big-list 2 induction × 2 2 linear-algebra × 4 2 discrete-mathematics