Question

Match List I with List II

| LIST I| | LIST II
---|---|---|---
A.| Series $\displaystyle\sum_{n=1}^{∞} \frac{1}{n^\frac{3}{2}}$ is| I.| Monotone and
convergent both
B.| Series $\displaystyle\sum_{n=1}^{∞} \frac{3^n}{n^2}$ is| II.| $e^{-2}$
C.| $\lim\limits_{n \to \infty} (\frac{n+1}{n+2})^{2n+1}$| III.| Divergent to ∞
D.| sequence $x_n=1+\frac{1}{2!}+\frac{1}{3!}+…\frac{1}{n!}$ for n∈N| IV.| Convergent

Choose the correct answer from the options given below:

• A. A IV, B III, C II, D I
• B. A III, B IV, C I, D II
• C. A I, B II, C III, D IV
• D. A IV, B I, C III, D II

Answer 1

Answer: (A)

A IV, B III, C II, D I

Answer 2

The correct option is(A):A IV, B III, C II, D I