`(x-3)=0`,`((x-2)-1)`

Evaluate the following limits : Lim_( x to 0) (3^(2x)-1)/(2^(3x)-1)

Evaluate the following limits : Lim_( x to 0) (3^(2x)-1)/(2^(3x)-1)

Evaluate lim_(x rarr0)(3^(x)-1)/(2^(x)-1)

Solve |((x+1),0,0)) , ((2x+1),(x-1),0)) , ((3x+1),(2x-1),(x-2))| =0

If A, B, C, D are the sum of the square of the roots of 2x^(2) + x- 3=0, x^(2)-x+2= 0, 3x^(2) - 2x +1=0, x^(2)- x+1=0 then the ascending order of A, B, C, D is

Find extreme value of f(x).={{:((x)/(1-x^2),-1ltxlt0),(x^3-x,0lexlt2):} on (-1,2)

What are the values of x that satisfy equation |(x,0,2),(2x,2,1),(1,1,1)|+|(3x,0,2),(x^(2),2,1),(0,1,1)| = 0 ?

If f(x)={{:(x^(3)+1",",x lt0),(x^(2)+1",", x ge0):}, g(x)={{:((x-1)^(1//3)",", xlt1),((x-1)^(1//2)",", x ge1):} then (gof)(x)=

Evaluate : lim_( x -> 0 ) ( root(3)( 1 + x^2 ) - 1) /( x^2 )