Lista de Limites - 02

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Matemática para Engenharia I
LISTA 02 - LIMITES
1) Use a definição para provar que o limite existe.
a) 
	 b) 
		c) 
	 d) 
2) Para 
 e ( dados, use o gráfico de f para achar o maior (, tal que se 
 então 
.
a) 
			b) 
 (R.: 
)				 (R.: 
)
c) 
		d) 
		e) 
 (R.: 
)			 (R.: 
)			 (R.: 
)
3) Determine cada limite, se existir:
 
, 
 e 
 para as funções:
 a) 
, com 
				b) 
 para 
 (R.: 0, ( , ( )					 (R.: 4, 4, 4)
 c) 
 se 
, com 
	d) 
, 
, para 
 (R.: 
, n, ( )					 (R.: 1, 1, 1)
4) Use o teorema do confronto para verificar o limite.
 a) 
		Sugestão: Use 
 e 
 b) 
5) Use as propriedades sobre limites para determinar o limite quando existe.
a) 
			b) 
			 c) 
 (R.: 15)			 (R.: 
)			 (R.: 3)
d) 
		e) 
		 	 f) 
�		
 (R.: 7)			 (R.: 7/13)			 (R.: 
)
g) 
		h) 
	 i) 
 
 (R.: 1)			 (R.: 36)			 (R.: 150)
j) 
			k) 
			l) 
 (R.: 
)		 (R.: não existe)			 (R.: 8)
m) 
		n) 
			o) 
 (R.: 
)			 (R.: 
)			 (R.: -16/3)
p) 
		q) 
		 r) 
 (R.: 0)			 (R.: -1/2)			 (R.: 3/5)
s) 
		t) 
		
 (R.: -3/162)		 (R.: 8)	
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