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List of top Mathematics Questions on Sequence and Series asked in CUET (PG)

Match the LIST-I with LIST-II - Let $x_n = 3 + (-1)^n, n \in \mathbb{N}$. Then
Choose the correct answer from the options given below:
  • CUET (PG) - 2026
  • CUET (PG)
  • Mathematics
  • Sequence and Series
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Let $\langle x_n \rangle$ be a sequence in $\mathbb{R}$, where $x_n = \sin\left(\frac{1}{n}\right)$, then $\langle x_n \rangle$ is convergent in $\mathbb{R}$. Reason R : $\langle x_n \rangle$ is bounded.
In the light of the above statements, choose the correct answer from the options given below
  • CUET (PG) - 2026
  • CUET (PG)
  • Mathematics
  • Sequence and Series
$\lim_{n \to \infty} \frac{1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \dots + \frac{1}{n}}{n}$ is
  • CUET (PG) - 2026
  • CUET (PG)
  • Mathematics
  • Sequence and Series
Let $\langle x_n \rangle$ be a sequence which is given by $x_n = \frac{5^n}{n!}$, then
  • CUET (PG) - 2026
  • CUET (PG)
  • Mathematics
  • Sequence and Series
If $p > 0$, then $\lim_{n \to \infty} \sqrt[n]{p}$ :
  • CUET (PG) - 2026
  • CUET (PG)
  • Mathematics
  • Sequence and Series
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