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msc:mcqs_short_questions:real_analysis [2023/04/03 03:59] – [Edit - Panel] Administratormsc:mcqs_short_questions:real_analysis [2023/04/03 04:03] – [Sequence of Numbers] Administrator
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     * (B) 2     * (B) 2
     * (C) $2n$ such that $n \in \mathbb{Z}$     * (C) $2n$ such that $n \in \mathbb{Z}$
-    * (D) $2\pi$ \\ <btn type="link" collapse="a3">See Answer</btn><collapse id="a3" collapsed="true">(D): $2\pi$ is not an integer.</collapse> +    * (D) $2\pi$ \\ <btn type="link" collapse="a3">See Answer</btn><collapse id="a3" collapsed="true">(D): Integers can only be even or odd but $2\pi$ is not an integer.</collapse> 
- </panel><panel>+ </panel> 
 +<panel>
  4. A number which is neither positive nor negative is   4. A number which is neither positive nor negative is 
     * (A) 0     * (A) 0
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     * (C) is convergent.     * (C) is convergent.
     * (D) is divergent. \\ <btn type="link" collapse="214">See Answer</btn><collapse id="214" collapsed="true">(D): Every subsequence of convergent sequence converges to the same limit.</collapse>     * (D) is divergent. \\ <btn type="link" collapse="214">See Answer</btn><collapse id="214" collapsed="true">(D): Every subsequence of convergent sequence converges to the same limit.</collapse>
- </panel><panel> 
-  - A series $\sum a_n$ is convergent if and only if ..................... is convergent  
-    * (A) $\{\sum_{k=1}^{\infty}a_k \}$ 
-    * (B) $\{\sum_{k=1}^{n}a_k \}$ 
-    * (C) $\{\sum_{n=1}^{\infty}a_k \}$ 
-    * (D) $\{ a_n \}$  \\ <btn type="link" collapse="214">See Answer</btn><collapse id="214" collapsed="true">(D): Every subsequence of convergent sequence converges to the same limit.</collapse> 
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 ==== Series of Numbers ==== ==== Series of Numbers ====