IIT JAM 2020 Q1 — Is This Sequence Monotonic & Convergent? (Full Solution)

Описание: In this video, we solve Question 1 from IIT JAM Mathematics 2020 — a classic sequences & series problem on Monotonicity and Convergence.

We're given the sequence:
Sₙ = 1 + (-1)ⁿ/n, n ∈ ℕ

We'll check step-by-step:
✅ Is the sequence monotonic (increasing/decreasing)?
✅ Is it bounded?
✅ Does it converge, and if so, what is the limit?
✅ How to justify convergence using the Sandwich/Squeeze theorem or subsequence approach

By the end, you'll clearly understand why the limit of this sequence is 1, and
how to approach similar monotonicity & convergence questions in IIT JAM, CSIR
NET, and GATE exams.


📘 Topics Covered: Sequences & Series, Real Analysis, Monotonic Sequences,
Convergence of Sequences, IIT JAM PYQ

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