Find limit LIM (1-1 / 2 ^ 2) (1-1 / 3 ^ 2)... (1-1 / N ^ 2)=_____

Find limit LIM (1-1 / 2 ^ 2) (1-1 / 3 ^ 2)... (1-1 / N ^ 2)=_____

Square difference
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)…… (1-1/n)(1+1/n)
=(1/2)(3/2)(2/3)(4/3)…… [(n-1)/n][(n+1)/n]
Middle cut
=(1/2)[(n+1)/n]
=(n+1)/2n
=(1+1/n)/2
So limit = 1 / 2