If x be real , show that the value of `(2x^2-2x+4)/(x^2-4x+3)` cannot lie between (-7) and 1.

Show that the value of (cot 3x)/(cot x) cannot lie between (1)/(3) and 3.

If x is real, show that the value of x/(x^2-5x+9) always lie between 1 and (-1/11)

Show that for all real values of x the value of (x^2-3x+4)/(x^2+3x+4) always lie between 1/7 and 7.

For real x, the greatest value of (x^2+2x+4)/(2x^2+4x+9) is

Show that the value of (tan x+ 2 tan2x)/(tanx) cannot lie within 1 and 5.

If x is real , show that the expressions (x^2-ab)/(2x-a-b) has no real value between a and b.

If x is real show that the expressions (x^2+34x-71)/(x^2+2x-7) has no value between 5 and 9.

If x is real, then the value of the expression (x^2+14x+9)/(x^2+2x+3) lies between (a) 5 and 4 (b) 5 and -4 (c) -5 and 4 (d) none of these

For x in R, Prove that the given expression (x^2+34x-71)/(x^2+2x-7) can not lie between 5 and 9.

If x is real show that the expressions (3x-5)/(x^2-1) has no value between 1/2 and 9/2 .