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Estudos Gerais02/15/2025

26. Calcule os seguintes limites, se existirem: a) lim x->2...

  1. Calcule os seguintes limites, se existirem:

a) lim x->2 (x + 4)/(3x - 1); b) lim x->1 (x^2 - 3)/(x^2); c) lim x->1 (x^2 - 1)/(x - 1); d) lim x->2 (x^2 - 5x + 6)/(x - 2); e) lim x->9 (x - 9)/(√x - 3); f) lim x->1 (x^3 - 1)/(x - 1); g) lim x->+∞ (x^2 - 3x + 2)/(2x^2 + x - 3); h) lim x->+∞ (5x^2 + 7)/(3x - x); i) lim x->1- (x)/(x - 1); j) lim x->1 (x)/(x - 1); k) lim x->0 (√x)/(x); l) lim x->0 (1 - √x)/(1 - x); m) lim x->1 (1 - √x)/(1 - x); o) lim x->+∞ (x^4 - x^3 + 1); p) lim x->+∞ (x^3 + 2x + 1); q) lim x->0 (sen(2x))/(x); r) lim x->0 (tan x)/(sen x); s) lim x->0 (cos(2x))/(1 + sen x); t) lim x->0 (x sen x)/(2x^2); v) lim x->0 (sen^2 x)/(x); w) lim x->+∞ (x sen^2(1/x)); x) lim x->+∞ (x[1 - cos(1/x)]).

26. Calcule os seguintes limites, se existirem:

a) lim x->2 (x + 4)/(3x - 1);
b) lim x->1 (x^2 - 3)/(x^2);
c) lim x->1 (x^2 - 1)/(x - 1);
d) lim x->2 (x^2 - 5x + 6)/(x - 2);
e) lim x->9 (x - 9)/(√x - 3);
f) lim x->1 (x^3 - 1)/(x - 1);
g) lim x->+∞ (x^2 - 3x + 2)/(2x^2 + x - 3);
h) lim x->+∞ (5x^2 + 7)/(3x - x);
i) lim x->1- (x)/(x - 1);
j) lim x->1 (x)/(x - 1);
k) lim x->0 (√x)/(x);
l) lim x->0 (1 - √x)/(1 - x);
m) lim x->1 (1 - √x)/(1 - x);
o) lim x->+∞ (x^4 - x^3 + 1);
p) lim x->+∞ (x^3 + 2x + 1);
q) lim x->0 (sen(2x))/(x);
r) lim x->0 (tan x)/(sen x);
s) lim x->0 (cos(2x))/(1 + sen x);
t) lim x->0 (x sen x)/(2x^2);
v) lim x->0 (sen^2 x)/(x);
w) lim x->+∞ (x sen^2(1/x));
x) lim x->+∞ (x[1 - cos(1/x)]).
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