Question:
The value of $\lim_{π₯β3}\frac{(π₯^2 β9)}{(π₯^2β4π₯+3 )} $ is (rounded off to the nearest integer).
The value of $\lim_{π₯β3}\frac{(π₯^2 β9)}{(π₯^2β4π₯+3 )} $ is (rounded off to the nearest integer).
Updated On: Oct 1, 2024
Hide Solution
Verified By Collegedunia
Correct Answer: 3
Solution and Explanation
The Correct answer is :3
Was this answer helpful?
0
0
Top Questions on 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. Β½
Choose the correct answer from the options given below:- CUET (PG) - 2023
- 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
- Which one of the following is not correct?
- 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 IIT JAM BT exam
- A population of 1000 plants are in Hardy-Weinberg equilibrium. Two alleles R and r determine a particular trait in this population. If the number of plants with RR genotype is 640, Rr genotype is 320 and rr genotype is 40, the frequency of r allele (in percentage) in this population is __________/ (rounded off to the nearest integer).
- IIT JAM BT - 2024
- Genetics
- A box of mass 20 ππ is pulled at constant speed across a floor by a rope. The rope makes an angle of 45Β° with the horizontal. Assuming that friction is negligible, the work done in pulling the box by a distance of 20 π is _____ π½ (rounded off to the nearest integer). (Use $π = 9.8 ππ ^{β2}$)
- IIT JAM BT - 2024
- Friction
- A ball dropped from a bridge hits the surface of the water in 3 π . The height of the bridge, ignoring air resistance, is ___ π (rounded off to one decimal place). (Use $π = 9.8 ππ ^{β2}$)
- IIT JAM BT - 2024
- Motion in a plane
- Adenine constitutes 0.16 mole fraction in a given single-stranded DNA. What is the mole fraction of uracil in the resultant RNA, if this entire DNA fragment is transcribed?
- IIT JAM BT - 2024
- DNA replication, transcription and translation
- The amount of agarose required to prepare 250 ππΏ of 0.8% agarose gel is _______ πππππ (rounded off to the nearest integer).
- IIT JAM BT - 2024
- Percentage Composition
View More Questions