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• 12 Evaluate $\sum_{r=0}^n 2^{n-r} \binom{n+r}{r}$
• 8 $\lim_{x\to\infty}\frac{1-\cos x}{1-\sin x}$
• 7 For $\alpha\in(0^\circ;90^\circ)$ simplify $\sin^2\alpha+\tan^2\alpha+\sin^2\alpha.\cos^2\alpha+\cos^4\alpha$
• 6 Calculating the limit $\lim\limits_{\theta \to 0} \frac{\sin \theta}{\tan \theta}$
• 5 Cauchy's MVT-Lagrange's MVT-Rolle's theorem independence
• 5 Find $\lim_{n\to\infty}2^nx_n$
• 5 General formula for $\int_a^b(x-a)^m(x-b)^ndx$
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