`lim_{x to oo} ( (2x^2 + 3)/(2x^2 - 1) )^(x^2)`

` = lim_{x to oo} e^( x^2 . ln( (2x^2 + 3)/(2x^2 - 1))`

 Ta có : `lim_{x to oo} (2x^2 + 3)/(2x^2 - 1) = lim_{x to oo} (2 + 3/(x^2))/(2 - 1/(x^2)) = 2/2 = 1`

`to lim_{x to oo} ln( (2x^2 + 3)/(2x^2 - 1)) = 0`

` = e^(x^2 . 0) = e^0 = 1`