AP EAMCET · Maths · Limits
\(\lim _{x \rightarrow 1}\left((1-x) \tan \left(\frac{\pi x}{2}\right)\right)=\)
- A \(\frac{1}{\pi}\)
- B \(\frac{3}{\pi}\)
- C \(\frac{4}{\pi}\)
- D \(\frac{2}{\pi}\)
Answer & Solution
Correct Answer
(D) \(\frac{2}{\pi}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \operatorname{Lim}_{x \rightarrow 1}(1-x) \tan \left(\frac{\pi}{2} x\right) \\ & =\operatorname{Lim}_{x \rightarrow 1} \frac{1-x}{\cot \left(\frac{\pi x}{2}\right)}=\operatorname{Lim}_{x \rightarrow 1} \frac{-1}{-\frac{\pi}{2}…
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
- If ' 3 ' is the variance of Poisson distribution, then \(\mathrm{P}(1 < \mathrm{x} < 4)=\)AP EAMCET 2022 Medium
- The length of the subnormal at any point on the curve \(y=\left(\frac{x}{2024}\right)^k\) is constant if the value of \(k\) isAP EAMCET 2024 Easy
- The combined equation of the lines passing through the origin and having slopes \(\frac{2}{3}\) and \(\frac{-2}{3}\) isAP EAMCET 2020 Easy
- If , then the value of equalsAP EAMCET 2021 Medium
- The area (in sq units) of the quardilateral formed by the lines \(2 x+3 y+6=0\), \(2 x-3 y+6=0,2 x+3 y-6=0\) and \(2 x-3 y-6=0\) isAP EAMCET 2018 Easy
- The sum of the rational terms in the expansion of \((\sqrt{2}+\sqrt[5]{3})^{10}\) isAP EAMCET 2017 Medium
More PYQs from AP EAMCET
- A block \((P)\) is rotating in contact with the vertical wall of a rotor as shown in figures \(\mathrm{A}, \mathrm{B}, \mathrm{C}\). The relation between angular velocities \(\omega_A, \omega_B\) and \(\omega_C\) so that block does not slide down.
\(\left(R_A \lt R_B \lt R_C \text { radii }\right)\)
AP EAMCET 2024 Easy - If \(n>0\) and \(\lim _{x \rightarrow 0} \frac{((a-n) n x-\tan x) \sin n x}{x^2}=0\), then minimum value of \(a\) isAP EAMCET 2022 Easy
- The acceleration of a particle executing SHM isAP EAMCET 2020 Easy
- If the \(E_{\text {cell }}^{\circ}\) of an equilibrium reaction \(A(s)+2 B^{2+}(a q) \rightleftharpoons A^{2+}(a q)+2 B(s)\)
at \(298 \mathrm{~K}\) is \(0.59 \mathrm{~V}\), the equilibrium constant \(K_c\) isAP EAMCET 2019 Easy - The equation of the ellipse having a vertex at \((6,1)\), a focus at \((4,1)\) and the eccentricity \(\frac{3}{5}\) isAP EAMCET 2018 Easy
- If each element, of a determinant of third order with value \(A\), is multiplied by 3 , then the value of newly formed determinant isAP EAMCET 2021 Easy