Consider the following two statements : I. Σ(n=1 to ∞) uₙ is convergent ⇒…

PYQ UPPSC LT Grade (Assistant Teacher) 2025

Consider the following two statements :

I. Σ(n=1 to ∞) uₙ is convergent ⇒ Σ(n=1 to ∞) |uₙ| is convergent.

II. Σ(n=1 to ∞) |uₙ| is convergent ⇒ Σ(n=1 to ∞) uₙ is convergent.

Which of the above statements is/are correct ?

  1. A.

    Only II

  2. B.

    Only I

  3. C.

    Both I and II

  4. D.

    Neither I nor II

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