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 18 How does linear algebra help with computer science? 16 De-Morgan's theorem for 3 variables? 14 Evaluate $\sum^\infty_{n=1} \frac{1}{n^4}$using Parseval's theorem (Fourier series) 14 How to figure out the Argument of complex number? 9 Evaluate $\int_{-\pi}^\pi \big|\sum^\infty_{n=1} \frac{1}{2^n} e^{inx}\big|^2 \operatorname d\!x$

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 4 If $\lim_{x\to\infty}(f(x)+f'(x))=L$ show that $\lim_{x\to\infty} f(x) = L$ and $\lim_{x\to\infty} f'(x) = 0$ 3 Prove that $f(x) = \left\{ \begin{array}{c} x^2, &x \le 1 \\ 3 - 2x, &x > 1 \end{array} \right.\;$ is continuous on $\mathbb R$… 1 If $\sum n^2 a_n^2<\infty$ then $\sum a_n$ is convergent. 0 Find limit when $\theta$ tends to $0$ of $\tan(\theta) /\theta$ 0 Why does $\sum_{n = 0}^\infty \frac{n}{2^n}$ converge to 2?

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