limx→∞ x sin (2 / x) =
1) ∞ 2) 0 3) 2 4) ½ Solution: (3) 2 \(\begin{array}{l}\begin{array}{l} \lim _{x \rightarrow \infty} x \sin \frac{2}{x} \\... View Article
Latest Posts
The function f (x) = [x] cos [(2x – 1) / 2] π, [.] denotes the greatest integer function, is discontinuous at
1) All x 2) All integer points 3) No x 4) x which is not an integer Solution: (3) No... View Article
limx→0 [1 – cos3 x] / [x sin x cos x] =
1) 2/5 2) 3/5 3) 3/2 4) 3/4 Solution: (3) 3/2 \(\begin{array}{l}\begin{array}{l} \lim _{x \rightarrow 0} \frac{1-\cos ^{3} x}{x \sin... View Article
limx→0 [ex^2 – cos x] / x2 =
1) 0 2) 1/2 3) 1 4) 3/2 Solution: (4) 3/2 \(\begin{array}{l}\operatorname{lim}_{x \rightarrow 0} \frac{e^{x^{2}}-\cos x}{x^{2}}\\ \text \ It \... View Article
The value of limx→0 [1 – cos 2x] / x2 is
1) does not exist 2) infinite 3) 0 4) 2 Solution: (4) 2 \(\begin{array}{l}\begin{array}{l} \lim _{x \rightarrow 0}\left(\frac{1-\cos 2 x}{x^{2}}\right)... View Article
limx→1 cos-1 [(1 – √x) / (1 – x)] =
1) π/3 2) π/6 3) π/2 4) π/4 Solution: (1) π/3 \(\begin{array}{l}\begin{array}{l} \lim _{x \rightarrow 1} \cos ^{-1}\left(\frac{1-\sqrt{x}}{1-x}\right) \\ \Rightarrow... View Article
The value of limx→π/2 (sin x)tanx is
1) 1 2) 0 3) e 4) None of these Solution: (1) 1 \(\begin{array}{l}\begin{array}{l} \lim _{x \rightarrow \frac{\pi}{2}}(\sin x)^{\tan x}\\... View Article
14 July 2021: UPSC Exam Comprehensive News Analysis
CNA 14th July 2021:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related GOVERNANCE 1.... View Article
13 July 2021: PIB Summary & Analysis
July 13th, 2021, PIB:- Download PDF Here TABLE OF CONTENTS 1. BHIM–UPI 2. CSIR-CSIO’s UV-C Disinfection Technology 3. Prelims Facts... View Article
For The Reaction 2N2O5(G) → 4NO2(G) + O2(G), The Rate Of Formation Of NO2(G) Is 2.8×10 −3Ms−1. Calculate The Rate Of Disappearance Of N2O5(G).
Given reaction: \(\begin{array}{l} 2N_{2}O_{5}(g) \rightarrow 4NO_{2}(g) + O_{2}(g)\end{array} \) The rate of formation of \(\begin{array}{l} NO_{2}(g)\end{array} \) is 2.8 *... View Article
Which One Are Examples Of Solid Sol (A) Alloys (B) Ruby Stone (C) Vision Glasses (D) All Of These
The correct answer is (D) All Of These Depending upon the nature of the dispersed phase and that of the... View Article
What Do You Mean By Economising The Use Of Resources
Economising the use of resources refers to the optimum utilisation of resources. OR Economising the use of resources differences refers... View Article
Define All Types Of Errors In Physics
In Physics, an error is defined as the difference between the actual value and the calculated value of any physical... View Article
Which Of The Following Salt Give Acidic Solution (A) NaCl2 (B) NH4Cl (C) Na2CO3 (D) None Of These
The correct answer is (B) NH4Cl \(\begin{array}{l} NH_{4}Cl \end{array} \) – Ammonium chloride. This is a white crystalline salt that... View Article
Which Of The Following Is Not A Salt?(A) Slaked Lime (B) Zinc Nitrate(C) Lead Sulphite(D) Sodium Chloride
The correct answer is (A) Slaked Lime Slaked lime \(\begin{array}{l} Ca(OH)_{2} \end{array} \) is not a salt. It is calcium... View Article
Two Identical Capacitors Have The Same Capacitance C, One Of Them Is Charged To Potential
SOL: The initial energy of the combined system \(\begin{array}{l} U_{1} = \frac{1}{2}CV_{1}^{2} + \frac{1}{2}CV_{1}^{2} = \frac{C}{2}(V_{1}^{2} + V_{2}^{2}) \end{array} \)... View Article
A Man Of Mass 50 Kg Is Standing In An Elevator. If Elevator Is Moving Up With An Acceleration G 3 Then Work Done By Normal Reaction Of Floor Of Elevator On Man When Elevator Moves By A Distance 12 M Is (G= 10 M/S 2)(A) 8000 J, (B) 6000 J, (C) 4000 J,(D) 2000 J
The correct answer is (A) 8000 J Sol: The work done on the man by the floor will equal his... View Article
Tropolone Is An Example Of (A) Alicyclic Compound (B) Benzenoid Aromatic Compound (C) Heterocyclic Aromatic Compound(D) Non Benzenoid Aromatic Compound
The correct answer is (D) Non-Benzenoid Aromatic Compound. Tropolone is an organic compound with the formula \(\begin{array}{l} C_{7}H_{5}(OH)O or C_{7}H_{6}O_{2}... View Article
What Decimal Of An Hour Is A Second
Sol: We know that One hour = 60 minute One minute = 60 seconds Therefore, One hour = 60 seconds... View Article
Select The Correct Order Of Ionic Radii For Na+, Mg2+, F− and O2− (A) Mg2+ < Na+ < F- < O2- (B) Na+ < Mg2+ < F- < O2- (C) O2- < F- < Na+ < Mg2+(D) Mg2+ < O2- < Na+ < F-
The correct answer is (A) Mg2+ < Na+ < F- < O2- The correct order of increasing ionic radii is... View Article
