`lim(x->a_-) {(|x|^3)/a-[x/a]^3} ,(a < 0)`, where `[x]` denotes the greatest integer less than or equal to `x` is equal to:

(lim)_(x->3)x+3

lim_(x rarr1)(|x^(3)-x|)/(x-x^(3))3lim

Prove that lim_(x->3^+) x/[[x]] != lim_(x->3^-) x/([x])

lim_(x rarr2^(+))(([x]^(3))/(3)-[(x)/(3)]^(3)) is

lim_(x rarr2^(+))(([x]^(3))/(3)-[(x)/(3)]^(3))

lim_ (x) rarr (2 ^ (+)) (([x] ^ (3)) / (3) - [(x) / (3)] ^ (3)) is

lim_(x rarr2^(+))(([x]^(3))/(3)-[(x)/(3)]^(3)) is

lim_(x rarr oo)((x-3)/(x+3))^(x+3)

Let a_(1),a_(2),...,a_(n) be fixed real numbers and let f(x)=(x-a_(1))(x-a_(2))(x-a_(3))...(x-a_(n)). Find lim_(xtoa_(1))f (x). If anea_(1),a_(2),..,a_(n),Compute lim_(xtoa) f(x).