Delhi University MCA Infinite Series Previous Year Question Paper and Solution with PDF

Delhi University MCA Infinite Series Previous Year Questions (PYQs)

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Qus : 1

Which of the following is false:

(a) Every convergent positive series is convergent.

(b) Every absolutely convergent series is convergent.

Σ S_{n}

converges and

Σ | S_{n} |

diverges, then

Σ S_{n}

is conditionally convergent.

(d) The series

1 - 2^{- 2} + 3^{- 2} - 4^{- 2} + \dots

is a divergent series.

Qus : 2

The series

\sum_{n = 3}^{\infty} \frac{1}{n (\log n) (\log \log n)^{c}}

converges if

(a) 0<c<1

(b) c>1

(d) c=1

Qus : 3

If the following holds:

$lim_{n \to \infty} \frac{u_{n}}{v_{n}} = l, u_{n} > 0, v_{n} > 0, l \neq 0$ then choose the correct option:

(a) $\sum u_{n}$ and $\sum v_{n}$ converge together

(b) $\sum u_{n}$ diverges and $\sum v_{n}$ converges

(d) Neither $\sum u_{n}$ converges nor $\sum v_{n}$ diverges

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Delhi University MCA Infinite Series Previous Year Questions (PYQs)