`((x^2+4x+6)(x^2+x+1))/(x^2-x+1)lt=0`

Solve : (i)" "((x-1)\(x-2)(x-3))/((x+1)(x+2)(x+3))" "(ii) " "(x^(4)+x^(2)+1)/(x^(2)+4x-5)lt0

Solve : (i)" "((x-1)\(x-2)(x-3))/((x+1)(x+2)(x+3))" "(ii) " "(x^(4)+x^(2)+1)/(x^(2)+4x-5)lt0

Evaluate Lt_( x to 2)(x^(2)+2x-1)/(x^(2)-4x+4)

Lt_(x to (1)/(2))((x)/(2x-1)-(2x)/(4x^(2)-1))=

Solve (i)" "(x-1)/(x)-(x+1)/(x-1)lt2" "(ii)" "(x^(2)+4x+4)/(2x^(2)-x-1)gt0.

Solve (i)" "(x-1)/(x)-(x+1)/(x-1)lt2" "(ii)" "(x^(2)+4x+4)/(2x^(2)-x-1)gt0.

If f(x)= {(|1-4x^2|,; 0 lt= x lt 1), ([x^2-2x],; 1 lt= x lt 2):} , where [.] denotes the greatest integer function, then f(x) is

Find the value of a + b if f(x) = {((a e^(1//|x+2|) - 1)/(2-e^(1//|x+2|)),; -3 lt x lt -2), (b,; x = -2), (sin((x^4-16)/(x^5+32)),; -2 lt x lt 0):} is continuous at x = -2.

Find the value of a ,b if f(x) = {((a e^(1//|x+2|) - 1)/(2-e^(1//|x+2|)),; -3 lt x lt -2), (b,; x = -2), (sin((x^4-16)/(x^5+32)),; -2 lt x lt 0):} is continuous at x = -2.