- Calcule os seguintes limites, se existirem:
a) lim x->4 (x + 4) ;
b) lim x->2 (3x^2 - 5x + 6) ;
c) lim x->1 (x^2 + 3) ;
d) lim x->9 (x - 2) ;
e) lim x->1 (x^2 - 1) ;
f) lim x->1 (x - 1) ;
g) lim x->0 (x^2 + 3)/(2x^2 - 3) ;
h) lim x->1 (5x^2 + 7)/(3x - x) ;
i) lim x->1 (x)/(x - 1) ;
j) lim x->1 (x - 1) ;
k) lim x->0 (2 + x^3 - 8)/(x) ;
l) lim x->0 (x^4 - 2)/(x^2) ;
m) lim x->1 (sqrt(x) - 1)/(1 - x) ;
o) lim x->0 (x^3 + 2x + 1) ;
p) lim x->∞ (x^3 + 2x + 1) ;
q) lim x->0 sen(2x) ;
r) lim x->0 tan(x) ;
s) lim x->∞ cos(x)/(1 + sen(x)) ;
t) lim x->0 (x sen(2x^2)) ;
u) lim x->∞ sen^2(1/x) ;
w) lim x->∞ (x)/(1 - cos(1/x)) ;
- Calcule os seguintes limites.
a) lim x->∞ (x^3 + 6x^2 - 5x - 1)/(2x^3 - x^2 + 4) ;
b) lim x->∞ (3x^2 - x + 2)/(x^3 + 2x^2 - 1) ;
c) lim x->1 (x^2 - 1)/(x - 1) ;
d) lim x->2 (x + 2)/(x^2 - 4) ;
e) lim x->3 (sqrt(x^2 - 9)/(x - 3)) ;
f) lim x->0 (x^2 sen(3x)) ;
g) lim x->0 (x)/(x + 1) ;
h) lim x->1 (x^2 + x + 12)/(x^3 + 3) ;
i) lim x->0 (h - 5)^2 - 25)/(h) ;
j) lim x->1 (sqrt(2 - sqrt(2))) ;
k) lim x->∞ (x)/(sqrt(1 + 3x^2 - 1)) ;
l) lim x->2 (t^3 - t)/(x - 2) ;
m) lim x->2 (x + 2) ;
n) lim x->2 (1/(x - 2)) ;
o) lim x->2 (x)/(x - 2) ;
