L =lim(x-> ∞)(1- 1/(5x^2))^(6x)
lnL =lim(x-> ∞)ln(1- 1/(5x^2))/ [1/(6x) ] (0/0)
=lim(x-> ∞) { [2/(5x^3)] /(1- 1/(5x^2)) } / {-1/(6x^2) }
=lim(x-> ∞) -12x/ (5x^2-1)
=0
L=1
L =lim(x-> ∞)(1- 1/(5x^2))^(6x)
lnL =lim(x-> ∞)ln(1- 1/(5x^2))/ [1/(6x) ] (0/0)
=lim(x-> ∞) { [2/(5x^3)] /(1- 1/(5x^2)) } / {-1/(6x^2) }
=lim(x-> ∞) -12x/ (5x^2-1)
=0
L=1