pi continued fraction

If the impure compound is a mixture of two compounds whose solubility in any solvent does not differ significantly from one another, then the two compounds are separated by fractional crystallization. This is a series of repeated crystallisations. For instance when a solution containing ..

Evaluate : lim x → 1 7 π 2 cos x ( 1 7 π - 2 x ) ( 3 + sin x ) => 1 8 or 0 or 8 or ∞ or 1 4..

If f ( x ) = tan ( 1 5 π 4 - x ) cot 2 x is continuous at x = π 4 , then f ( 1 5 π 4 ) = ? => 1 4 or - 1 2 or 1 or 1 2..

For what values of x , the function f ( x ) = ( 1 2 π - x )tan x is not continuous? => 0 or 1 4 π or π or 1 2 π..

If f ( x ) = 5 cos 2 x 4 ( cos x - sin x ) , x ≠ 1 4 π is continuous at x = 1 4 π , then f ( 1 4 π ) = => 0 or - 5 4 2 or 2 or 5 4 2..

A function f is defined by: f ( x ) = sin 2 x if 0 < x ≤ &pi; 4 = a x + b if &pi; 4 < x < 1 and is continuous and differentiable in its dom..

Select the statement that explains why the mean value theorem does not apply to the function f ( x ) = tan x in the interval [0, &pi; ]. => tan x is continuous in [0, &pi; ]. or tan x is not continuous in [0, &pi; ]. or tan x is not differentiable i..

For the function f ( x ) = cos ( c x ) for x < 1, = x 2 - 1 for x ≥ 1, find the value(s) of c that makes the function continuous. => (2 k + 1) &pi; 2 , where k is an integer or k &pi;, where k is an integer or &pi; 2 only or &pi..

Constants and variables Symbols having fixed values are called constants. Examples: 5, &pi;, &frac34;, 1.5. Symbols which can be assigned with various numerical values are called variables or literals. Examples : x, y, y 2 . In the formula for circumference of a circl..

(i) Metastable states, where the lifetime of the atoms are of the order of milliseconds. (ii) More number of atoms should stay at metastable state and less number in the lower state. In such a situation we say population inversion has taken place. To attain this the metastable state should ..