Question:
Which one of the following is not correct?
Which one of the following is not correct?
Updated On: Mar 12, 2025
- The set of limit points of a bounded sequence is bounded.
- A bounded sequence with a unique limit point is convergent.
- The limit points of the sequence ⟨2+(-1)n⟩ are 1 and 2.
- The limit points of the sequence ⟨(-1)n⟩ are -1 and 1.
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct answer is(C): The limit points of the sequence ⟨2+(-1)n⟩ are 1 and 2.
Was this answer helpful?
0
0
Top Questions on Limits and derivations
- The value of $\lim_{𝑥→3}\frac{(𝑥^2 −9)}{(𝑥^2−4𝑥+3 )} $ is (rounded off to the nearest integer).
- IIT JAM BT - 2024
- Mathematics
- Limits and derivations
- The function f(z) defined by \(f(z)= \begin{cases} \frac{Re(z)}{z} & z\neq0\\ 0 & z=0 \end{cases}\)then which one of the following is true?
- CUET (PG) - 2023
- Mathematics
- Limits and derivations
- Given below are two statements:
Statement I: The sum of the series 2{7-1+3-17-3 +5-1.7-5 +....} is loge(\(\frac{4}{3}\)).
Statement II: The value of e always lies between 2 and 3.
In the light of the above Statements, choose the most appropriate answer from the options given below :- CUET (PG) - 2023
- Mathematics
- Limits and derivations
- Match List-I and List-II
LIST I LIST II A. \(\lim\limits_{x\rightarrow0}(1+sinx)^{2\cot x}\) I. e-1/6 B. \(\lim\limits_{x\rightarrow0}e^x-(1+x)/x^2\) II. e C. \(\lim\limits_{x\rightarrow0}(\frac{sinx}{x})^{1/x^2}\) III. e2 D. \(\lim\limits_{x\rightarrow\infty}(\frac{x+2}{x+1})^{x+3}\) IV. ½
Choose the correct answer from the options given below:- CUET (PG) - 2023
- Mathematics
- Limits and derivations
- If the function f(x) defined by
\(f(x)=\frac{x^{100}}{100}+\frac{x^{99}}{99}+...+\frac{x^2}{2}+x+1,\)
then f'(0)=- BCECE - 2017
- Mathematics
- Limits and derivations
View More Questions
Questions Asked in CUET PG exam
- What is the correct verb form: He, as well as his friends, ?
- Which preposition is correct: Chanakya lived ?
- CUET (PG) - 2025
- Prepositions
- Identify the possessive noun: My office car is parked elsewhere.
- Which tense is appropriate: How did Saira ?
- Complete the sentence: There is a growing synthesis between humanism and ?
- CUET (PG) - 2025
- Sentence Completion
View More Questions