TS EAMCET · Maths · Limits
\(\lim _{x \rightarrow \infty}\left(\frac{2 x^2+3 x+4}{x^2-3 x+5}\right)^{\frac{3|x|+1}{2|x|-1}}=\)
- A \(\frac{3}{2}\)
- B \(2 \sqrt{2}\)
- C 3
- D \(\sqrt{2}\)
Answer & Solution
Correct Answer
(B) \(2 \sqrt{2}\)
Step-by-step Solution
Detailed explanation
Let \(L=\lim _{x \rightarrow \infty}\left(\frac{2 x^2+3 x+4}{x^2-3 x+5}\right)^{\frac{3|x|+1}{|x|-1}}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- Assertion \((\mathrm{A}) \operatorname{cosech}^{-1}(\mathrm{~B})=\log \left(\frac{1+\sqrt{10}}{3}\right)\) Reason (R) \(e^{\operatorname{cosech}^{-1} x}\) is a root of the quadratic equation \(x p^2-2 p-x=0\) The correct option among the following isTS EAMCET 2020 Medium
- If the order of a differential equation is and the degree of the differential equation is , then the differential equation corresponding to the family of curves , where and are arbitrary constants, isTS EAMCET 2019 Easy
- \(\lim _{x \rightarrow 0} x^2 \sin \frac{\pi}{x}\) is equal toTS EAMCET 2005 Easy
- If \(I_n=\int_0^{\pi / 4} \tan ^n \theta d \theta\) for \(n=1,2,3, \ldots\), then \(I_{n-1}+I_{n+1}\) is equal toTS EAMCET 2011 Hard
- If thenTS EAMCET 2022 Easy
- The set of solutions of the equation \((\sqrt{3}-1) \sin \theta+(\sqrt{3}+1) \cos \theta=2\) isTS EAMCET 2010 Medium
More PYQs from TS EAMCET
- If a body projected with a velocity of \(19.6 \mathrm{~ms}^{-1}\) reaches a maximum height of 9.8 m, then the range of the projectile is
(Neglect air resistance)TS EAMCET 2025 Medium - The temperature of \(K\) at which \(\Delta G=0\), for a given reaction with \(\Delta H=-20.5 \mathrm{~kJ} \mathrm{~mol}^{-1}\) and \(\Delta S=-50.0 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\) isTS EAMCET 2014 Easy
- Three moles of an ideal gas undergoes a cyclic process ABCA as shown in the figure. The pressure, volume and absolute temperature at points \(\mathrm{A}, \mathrm{B}\) and C are respectively \(\left(\mathrm{P}_1, \mathrm{~V}_1\right.\), \(\left.T_1\right),\left(P_2, 3 V_1, T_1\right)\) and \(\left(P_2, V_1, T_2\right)\). Then the total work done in the cycle ABCA is (R- Universal gas constant).
TS EAMCET 2025 Medium - The number of positive divisors of 360 which are multiples of 3 isTS EAMCET 2022 Easy
- Numerically greatest term in the expansion of \((3 x-4 y)^{23}\) when \(x=\frac{1}{6}\) and \(y=\frac{1}{8}\) isTS EAMCET 2025 Medium
- The approximate value of \((1.0002)^{3000}\) isTS EAMCET 2002 Medium