# Convergence of Positive Series Test [NBHM (National Board for Higher Mathematics) MSc and MA Mathematics]: Questions 1 - 5 of 5

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## Question number: 1

» Convergence of Positive Series Test

Appeared in Year: 2013

### Question

Which of the following series are convergent?

### Choices

Choice (4) | Response | |
---|---|---|

a. |
| |

b. |
| |

c. |
| |

d. | Both a. and b. are correct |

## Question number: 2

» Convergence of Positive Series Test

Appeared in Year: 2014

### Describe in Detail

Which of the following series are convergent?

a)

b)

c) , Where

### Explanation

Option (a) The given series is where

Take

Which is finite and non –zero

By comparison test

behave alike

But is divergent by p –test

… (210 more words) …

## Question number: 3

» Convergence of Positive Series Test

Appeared in Year: 2009

### Describe in Detail

Test the following series for convergence.

a)

b)

Where is a convergent series of positive terms.

### Explanation

Option (a) The given series is

Here

By Cauchy’s Root test the given series is convergent.

option (a) is correct

Option (b) Using Result

… (133 more words) …

## Question number: 4

» Convergence of Positive Series Test

Appeared in Year: 2011

### Describe in Detail

Test the following series for convergence.

a)

b)

### Explanation

Option (a) The given series is

Take

which is non –zero and finite

… (328 more words) …

## Question number: 5

» Convergence of Positive Series Test

Appeared in Year: 2007

### Question

Which of the following series are convergent?

### Choices

Choice (4) | Response | |
---|---|---|

a. |
| |

b. |
| |

c. |
| |

d. | Both b. and c. are correct |