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• 9 Proving roots of a function cannot all be real
• 7 Integral $\lim_{n \rightarrow \infty} \int_{0}^{1} \sqrt{\frac{1}{x}+n^2x^{2n}}dx$
• 7 Chemical kinetics
• 6 Limit $l=\lim_{t\to^{-}} (1-t) \sum_{r=1}^{\infty} \frac{t^r}{1+t^r}$
• 6 Find the probability that $[x+y+z]=[x]+[y]+[z]+2$
• 6 Use of axis of symmetry
• 5 Evaluate $\sum_{r=1}^{\infty} \frac{1 \cdot 3 \cdot \ldots (2r-1)}{r!}\left(\frac{2}{5} \right)^{r}$
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