Neco 2021 Further Mathematics Question 33

Practice objective / multiple choice question 33 from the 2021 Neco Further Mathematics examination.

Neco 2021 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 33 NECO • 2021 • FURTHER_MATHEMATICS • objective

Find the positive real number \(p\) such that the improper integral \(\int_{1}^{\infty}\left(\frac{1}{x^{p}}-\frac{1}{x^{p+1}}\right)dx\) converges and its value equals \(\frac12\).

Answer Options

A. 1
B. 3
C. 4
Correct Answer D. 2
Correct Answer
D
Correct Option:
2

About This Question

This is Neco 2021 Further Mathematics Question 33. It is one of the objective questions from the 2021 Neco Further Mathematics examination.

Difficulty level: Medium .

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