MATH 101 Section 2.4: Precise Definition of Limit

Use the given graph of f to find a number δ such that

if |x-3|<δ then |f(x)-4|<0.2 .

• -0.41

• 0.39

• 0.41

• 0.2

• 0.8

Use the given graph of f to find the numbers δ and ε such that

if |x-3|<δ then |f(x)-2|< ε .

• ε=0.5 , δ= 0.8

• ε=0.5 , δ= 0.4

• ε=1.5 , δ= 2.6

• ε=1.5 , δ= 0.4

• ε=2.5 , δ= 0.8

Find a positive number δ such that if

|x-4|<δ then |(2x-5)-3|< 0.2 ?

• 0.11

• 0.09

• 0.21

• 0.19

• 0.2