The series ∑ n=1 ∞ (-1) n sin(nx) n log e n , where x ∈ &mathbb;R, converges:

Question

Mathematics · Real Analysis

Verified Solution4 OptionsUpdated: October 2026👁️1 View

Share:

Correct answer

uniformly for all x ∈ &mathbb;R

Save this question and verified answer as a clean study sheet with live clickable link.

👥

Challenge your peer aspirants on WhatsApp or Telegram to solve this question!

Online Test Series

Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.

Chapter Practice

Want more practice questions on Real Analysis?

Solve complete topic-wise tests with detailed solutions on GkGet.

Recommended practice questions in Mathematics · Real Analysis

The arrival of which commission in India triggered widespread protests, including mass hartals across the country in 1928?

Which of the following leaders was instrumental in initiating and leading India’s struggle for independence?

Answer 1

uniformly for all x ∈ &mathbb;R

Answer 2

uniformly only for x ∈ &mathbb;R \ {nπ : n ∈ &mathbb;Z}

Answer 3

uniformly only for x ∈ [-π, π]

Answer 4

only for x = 0

The series &sum; n=1 &infin; (-1) n sin(nx) n log e n , where x &isin; &mathbb;R, converges: