" (i) "x^(x)+a^(x)+x^(a)

lim_(x rarr0^(+))((x^(x^(x)))-x^(x))

Let f(x)=(x^(x)) and g(x)=x^((x^(x))) then :

If f(x)=|(1, x, x+1), (2x, x(x-1), (x+1)x), (3x(x-1), x(x-1)(x-2), (x+1)x(x-1))| then f(5000) is equal to 0 b. 1 c. 500 d. -500

If f(x) = |(x + lamda,x,x),(x,x + lamda,x),(x,x,x + lamda)|, " then " f(3x) - f(x) =

If f(x) = |(x + lamda,x,x),(x,x + lamda,x),(x,x,x + lamda)|, " then " f(3x) - f(x) =

If f(x)= ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ​ 1 2x 3x(x−1) ​ x x(x−1) x(x−1)(x−2) ​ x+1 (x+1)x (x+1)x(x−1) ​ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ ​ Then f(100) is equal to

Let Delta=|(a,x,x),(x,b,x),(x,x,c)| and f(x)=(x-a)(x-b)(x-c) Determinant Delta is equal to

Using the properties of determinants, prove that following : |{:(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(1-x),x(x-1)(x-2),x(x+1)(x-1)):}|=6x^(2)(1-x^(2))

prove that |(1,x,x+1),(2x,x(x-1),x(x+1)),(3x(1-x),x(x-1)(x-2),x(x+1)(x-1))|=6x^(2)(1-x^(2))