# Mathematics-I(3110014)

BE | Semester 1  Unit : Convergence and divergence of sequences

## Q2 (a) Winter-2019   Test the convergence of the series

Unit : Convergence and divergence of sequences

## Q3 (a) Winter-2019   Test the convergence of the series $\frac{1}{{1}^{2}}-\frac{1}{{2}^{2}}+\frac{1}{{3}^{2}}-\frac{1}{{4}^{2}}+...$.

Unit : Convergence and divergence of sequences

## Q4 (b) Winter-2019   Express $\mathrm{f}\left(\mathrm{x}\right)=2{\mathrm{x}}^{3}+3{\mathrm{x}}^{2}-8\mathrm{x}+7$ in terms of $\left(\mathrm{x}-2\right)$.

Unit : Convergence and divergence of sequences

## Q4 (c) Winter-2019   Test the convergence of the series $\frac{\mathrm{x}}{1·2}+\frac{{\mathrm{x}}^{2}}{3·4}+\frac{{\mathrm{x}}^{3}}{5·6}+\frac{{\mathrm{x}}^{4}}{7·8}+...$.

Unit : Convergence and divergence of sequences

## Q5 (b) Winter-2019   Test the convergence of the series $\sum _{\mathrm{n}=1}^{\infty }\frac{\sqrt{\mathrm{n}}}{{\mathrm{n}}^{2}+1}$.

Unit : Convergence and divergence of sequences